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AravindG
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Please help:
can u explain detailed what is a tangent to a curve .I know its a line just touching the curve at only one point but i need to understand it more and also would like to know how to draw the tangent if i am given any graph .Is THERE ONLY ONE tangent possible at a point?
 2 years ago
 2 years ago
AravindG Group Title
Please help: can u explain detailed what is a tangent to a curve .I know its a line just touching the curve at only one point but i need to understand it more and also would like to know how to draw the tangent if i am given any graph .Is THERE ONLY ONE tangent possible at a point?
 2 years ago
 2 years ago

This Question is Closed

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
dw:1346418663569:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@Callisto , @.Sam. , @eliassaab , @lgbasallote , @satellite73 , @mukushla
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
In the general case the slope is computed by derivative. But for circles  the straight line is PERPENDICULAR to the radius at the point of tangent
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
dw:1346418733121:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i knw about tangent in circles ..my prob is i dont get idea on tangents of curves
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i cant draw tangent at a point if i am given a figure
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
dw:1346418814483:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
dw:1346418865060:dw
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
dw:1346418835881:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
perpendicular to what?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
dw:1346418935365:dw what is tangent at P?
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Aravind  where the curve itself is flat (straight) the tangent coincides with it.
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@Mikael WHY???
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
dw:1346418660977:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
if it is coincidnt it will touch at more than one point!!
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Because the tangent to a straight i this straight line !
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
but tangent is defined to touch only at a point...err i am confused
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Yes it will "touch" at infinitely many points
 2 years ago

amishra Group TitleBest ResponseYou've already chosen the best response.0
A tangent is a line outside the circle which touches only one point of the circle. Through one given point, infinite tangents can be drawn. A tangent at a given point is perpendicular to the radius of the circle.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
yes , @Mikael the tangent is the flat line approximation of the curve
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
Through one given point in a curve, infinite tangents can be drawn. "is that true?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
only one ryt?
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Almost  two
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
dw:1346418836231:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@Mikael read the qn agian Through one given point in a curve, infinite tangents can be drawn. "is that true?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
Through ONE given point in a curve, infinite tangents can be drawn. "is that true?
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Read what @UnkleRhaukus said: this is the full definition: flat approximation
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i think the answer is 1
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
No  just one single welldefined tangent
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
yep :) only one tangent is allowed at point ryt?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
i can not think of any example where a curve could have more than one tangent
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
At point ON the curve YES "there can be only one" As Duncan McCloud says
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@UnkleRhaukus i liked ur definition the tangent is the flat line approximation of the curve
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
It is not his (he would be lucky to be Isaac Newton, but he is unfortunately NOT)
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
those are newtons words??
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
it's not mine you say?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@UnkleRhaukus ?
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
I say that "tangent is a flat approximation to the curve" is ORIGINALLY Newton's definition.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
wow, where can i see that?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
"GREAT MINDS THINK ALIKE "
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
"Principia Mathematicae" (National Library, also the Library of the British Academy of Sciences
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Sorry  The Royal Academy od Sciences
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
we i havent read that one, ( i think its in latin)
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
I can get you a recent English Translation by a nobel prize winner (countrymanof Aravind originally...)
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
HMM..CAN u guys give me some real life situations where calculation of tangents is necessary?
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
@UnkleRhaukus for a small fee naturally >;]
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Yeah , Let\[f(x) = 33x^2 + 18x  15\] Find the tangent to this curve whose slope equals 99
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@Mikael i mean not that way
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
The only example i can think of where you could have multiple tangents is if they had som scale associated with them dw:1346419654145:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
well i need real life example where calculation of tangent is necessary
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
for eg.space vehicle trajectory after it leaves earth
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Yes this is very much related to original problems Newton had to solve  instantaneous velocity
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
more examples?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
dw:1346419864709:dw
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Well  suppose Mr. Buffet has 23*10^9 $ in a hedge fund. Assume that his interest accumulates at 1% per second, draw the linear graph (straight line) approximating his wealth grouth after 27 seconds
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
This will be solved by a tangent to exponential function graph
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@UnkleRhaukus nic pic :P
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@Mikael do u have more?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
does it look like some athlete throwing a hammer ?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i thought someone was spinning thee bucket :P
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Yes  the typical (boring) school/colledge example would be:
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
instantaneous velocity or speed is the tangent of distance/time
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Let f(x) = (45x^2 33x + 7) sin (x5) . Find the approximate value at 5.01 using the linear approximation with its slope = derivative at x=5
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Btw @UnkleRhaukus did u open the picture I have attached above ?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
One last question which i gt stuck today : Find the equation of the tangent to the curve y=x7/((x2)(x3)) at the point where it cuts the x axis.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.2
looks like 150$ i dont have @Mikael
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
help please
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Let's show you the general idea to Find the equation of the tangent to the curve y=f(x) at the point x1
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
\[y=\frac{(x7)}{(x2)(x3)}\]
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
1. Find the point (in ur case the intersection with the axis)
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@Mikael i knw dat i done so many problems
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
2 Derivative at that point
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i cannot differentiate this coorectly
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i tred logarithmic differentiation
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
nt getting
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Now you have THREE ( 3 ) data: (x, f(x)) and the slope=derivative
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
help please
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Hey what the fuss it is simple Ratio function
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i did like this
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
dw:1346420490258:dw
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
\[(\frac{ f }{ g }) = \frac{ f'*g  f*g'}{ g^2}\]
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
now when i put in x=7 i am stuck
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
You did fine (beginning at least)
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Then do the formula above
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i think using quotient rule complicates the answer
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
what is wrong with my working
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Yes , but it GETS YOU THERE
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@UnkleRhaukus sharre ur view
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
my text says another method :
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Which is ...?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
dw:1346420702829:dw
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i they havent shown how they gt it :(
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@Mimi can u help?
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
WHAAT the f. ??? How did y get there  in the denumer ?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
ya i am also puzzled
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Why not use simple and direct Ratio deriv. formula ??!
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i dont knw can u fig out what the text has used ?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
@ash2326 , @myininaya PLS HELP
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Yes  Now i understand
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Stop  you will awake all the evil spirits. It is a simple trick
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
When one applies the ratio formula one gets
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{ Polynom }{ ((x2)(x3))^2}\]
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Now as u notice in ur text's form the denomin is WITHOUT the square
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
They "transfered" one "sqrt of the denominator" as original y TO THE DENUMERATOR
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
In fact\[\frac{ 1*(x2)(x3)  (x7)*(Monomial ) }{(x2)^2(x3)^2} =\]
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
then how did 2x5 come?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
wait i gt it !! 2x5 is differential of x^25x+6 !!
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
\[=\frac{ 1  (x7)*(Monomial) *((x2)(x3))^{1}}{ (x2)(x3)} \]
 2 years ago

Rohangrr Group TitleBest ResponseYou've already chosen the best response.1
@AravindG Interact with this one : http://demonstrations.wolfram.com/TangentToACurve/
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
\[= \frac{ 1  Monomial*{Original Function} }{ (x2)(x3)} =\]
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
\[= \frac{ 1  y*Monomial }{ (x2)(x3) }\]
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
gt it !!! thx a lot!!!
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
I have given you a complete calculation
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
And thx is due
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
Close this question afterwards
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
i knw d rest
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
my only doubt is why i didnt get it by logarithmic differentiation
 2 years ago

Mikael Group TitleBest ResponseYou've already chosen the best response.1
What does it mean ?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
show u sas new qn
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
closing thisone as page lagging
 2 years ago
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