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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?
 one year ago
 one year ago
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?
 one year ago
 one year ago

This Question is Closed

UnkleRhaukusBest ResponseYou've already chosen the best response.2
dw:1346418663569:dw
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
@Callisto , @.Sam. , @eliassaab , @lgbasallote , @satellite73 , @mukushla
 one year ago

MikaelBest 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
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
dw:1346418733121:dw
 one year ago

AravindGBest 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
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
i cant draw tangent at a point if i am given a figure
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
dw:1346418814483:dw
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
dw:1346418865060:dw
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
dw:1346418835881:dw
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
perpendicular to what?
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
dw:1346418935365:dw what is tangent at P?
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Aravind  where the curve itself is flat (straight) the tangent coincides with it.
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
if it is coincidnt it will touch at more than one point!!
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Because the tangent to a straight i this straight line !
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
but tangent is defined to touch only at a point...err i am confused
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Yes it will "touch" at infinitely many points
 one year ago

amishraBest 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.
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
yes , @Mikael the tangent is the flat line approximation of the curve
 one year ago

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

AravindGBest 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?
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
Through ONE given point in a curve, infinite tangents can be drawn. "is that true?
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Read what @UnkleRhaukus said: this is the full definition: flat approximation
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
i think the answer is 1
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
No  just one single welldefined tangent
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
yep :) only one tangent is allowed at point ryt?
 one year ago

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

MikaelBest ResponseYou've already chosen the best response.1
At point ON the curve YES "there can be only one" As Duncan McCloud says
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
@UnkleRhaukus i liked ur definition the tangent is the flat line approximation of the curve
 one year ago

MikaelBest 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)
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
those are newtons words??
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
it's not mine you say?
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
I say that "tangent is a flat approximation to the curve" is ORIGINALLY Newton's definition.
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
wow, where can i see that?
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
"GREAT MINDS THINK ALIKE "
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
"Principia Mathematicae" (National Library, also the Library of the British Academy of Sciences
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Sorry  The Royal Academy od Sciences
 one year ago

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

MikaelBest ResponseYou've already chosen the best response.1
I can get you a recent English Translation by a nobel prize winner (countrymanof Aravind originally...)
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
HMM..CAN u guys give me some real life situations where calculation of tangents is necessary?
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
@UnkleRhaukus for a small fee naturally >;]
 one year ago

MikaelBest 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
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
@Mikael i mean not that way
 one year ago

UnkleRhaukusBest 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
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
well i need real life example where calculation of tangent is necessary
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
for eg.space vehicle trajectory after it leaves earth
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Yes this is very much related to original problems Newton had to solve  instantaneous velocity
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
dw:1346419864709:dw
 one year ago

MikaelBest 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
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
This will be solved by a tangent to exponential function graph
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
@UnkleRhaukus nic pic :P
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
@Mikael do u have more?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
does it look like some athlete throwing a hammer ?
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
i thought someone was spinning thee bucket :P
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Yes  the typical (boring) school/colledge example would be:
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
instantaneous velocity or speed is the tangent of distance/time
 one year ago

MikaelBest 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
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Btw @UnkleRhaukus did u open the picture I have attached above ?
 one year ago

AravindGBest 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.
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.2
looks like 150$ i dont have @Mikael
 one year ago

MikaelBest 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
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
\[y=\frac{(x7)}{(x2)(x3)}\]
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
1. Find the point (in ur case the intersection with the axis)
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
@Mikael i knw dat i done so many problems
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
2 Derivative at that point
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
i cannot differentiate this coorectly
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
i tred logarithmic differentiation
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Now you have THREE ( 3 ) data: (x, f(x)) and the slope=derivative
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Hey what the fuss it is simple Ratio function
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
dw:1346420490258:dw
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
\[(\frac{ f }{ g }) = \frac{ f'*g  f*g'}{ g^2}\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
now when i put in x=7 i am stuck
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
You did fine (beginning at least)
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Then do the formula above
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
i think using quotient rule complicates the answer
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
what is wrong with my working
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Yes , but it GETS YOU THERE
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
@UnkleRhaukus sharre ur view
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
my text says another method :
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
dw:1346420702829:dw
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
i they havent shown how they gt it :(
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
WHAAT the f. ??? How did y get there  in the denumer ?
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Why not use simple and direct Ratio deriv. formula ??!
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
i dont knw can u fig out what the text has used ?
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
@ash2326 , @myininaya PLS HELP
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Stop  you will awake all the evil spirits. It is a simple trick
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
When one applies the ratio formula one gets
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
\[\frac{ Polynom }{ ((x2)(x3))^2}\]
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Now as u notice in ur text's form the denomin is WITHOUT the square
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
They "transfered" one "sqrt of the denominator" as original y TO THE DENUMERATOR
 one year ago

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

AravindGBest ResponseYou've already chosen the best response.0
then how did 2x5 come?
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
wait i gt it !! 2x5 is differential of x^25x+6 !!
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
\[=\frac{ 1  (x7)*(Monomial) *((x2)(x3))^{1}}{ (x2)(x3)} \]
 one year ago

RohangrrBest ResponseYou've already chosen the best response.1
@AravindG Interact with this one : http://demonstrations.wolfram.com/TangentToACurve/
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
\[= \frac{ 1  Monomial*{Original Function} }{ (x2)(x3)} =\]
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
\[= \frac{ 1  y*Monomial }{ (x2)(x3) }\]
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
gt it !!! thx a lot!!!
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
I have given you a complete calculation
 one year ago

MikaelBest ResponseYou've already chosen the best response.1
Close this question afterwards
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
my only doubt is why i didnt get it by logarithmic differentiation
 one year ago

AravindGBest ResponseYou've already chosen the best response.0
closing thisone as page lagging
 one year ago
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