anonymous
  • anonymous
Find the derivative of f(x) = -12x2 + 9x at x = 6. -112.5 -135 -90 -108 @ganeshie8 @hero @dan815 @perl @pooja195 @nincompoop @CGGURUMANJUNATH @zepedrix @usukidoll
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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nincompoop
  • nincompoop
use power rule
anonymous
  • anonymous
how do i do that? can u show me step by step? @nincompoop
nincompoop
  • nincompoop
you can get the general derivative first and then apply at x=6 or you can apply it from the beginning

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More answers

UsukiDoll
  • UsukiDoll
\[f(x) = -12x^2+9x \]
nincompoop
  • nincompoop
alright, guy what have you learned so far?
nincompoop
  • nincompoop
have you learned derivative by limit definition yet?
anonymous
  • anonymous
no or maybe i did but i dont remember. can one of u show me step by step @UsukiDoll @nincompoop
nincompoop
  • nincompoop
okay do you know what a derivative is first?
anonymous
  • anonymous
no @nincompoop
nincompoop
  • nincompoop
ahhhhh
nincompoop
  • nincompoop
do you know what a slope is?
anonymous
  • anonymous
once i have f(x)=-12x^2+9(x) what would i do?
nincompoop
  • nincompoop
I can give you the general formula for power-rule, but it won't help you much in the long run if you have no clue what derivatives are.
nincompoop
  • nincompoop
so do you know what is slope?
nincompoop
  • nincompoop
I am asking a series of questions to see where is the proper place to begin.
anonymous
  • anonymous
no i dont @nincompoop
Astrophysics
  • Astrophysics
\[\frac{ d }{ dx } x^n = nx^{n-1}\] power rule
nincompoop
  • nincompoop
man...
nincompoop
  • nincompoop
laughing out loud
UsukiDoll
  • UsukiDoll
wow nin... don't be rude -_-
nincompoop
  • nincompoop
I'd use \(a \) instead of the coefficient n
nincompoop
  • nincompoop
whatever floats floats
anonymous
  • anonymous
@UsukiDoll can u please help me
nincompoop
  • nincompoop
alright, I think we've got a problem here I am dumbfounded why you're doing derivative when you do not know what slopes are.
nincompoop
  • nincompoop
in any case, we can go ahead and start with slope in general
nincompoop
  • nincompoop
begin by our day-to-day language, slope pertains to the steepness of something think of a slide or a hill or anything that goes down or up, it will have a slope
nincompoop
  • nincompoop
now we can try to infuse a some math into the language
Astrophysics
  • Astrophysics
Well I don't think you have to go that far nin, I'm sure OP knows what slope is and just needs to remember |dw:1436327588479:dw| one image will do wonders
nincompoop
  • nincompoop
I was just about to draw
anonymous
  • anonymous
okay i already know this?
nincompoop
  • nincompoop
are you asking us or telling us?
anonymous
  • anonymous
telling u
nincompoop
  • nincompoop
alright great! now we can move on to derivatives! laughing out loud
Astrophysics
  • Astrophysics
But for your question, you find the derivative then plug in the value of x they've given you
UsukiDoll
  • UsukiDoll
sorry I'm with another user right now.
nincompoop
  • nincompoop
basically derivative pertains the slope at a particular instant
nincompoop
  • nincompoop
|dw:1436327777742:dw|
nincompoop
  • nincompoop
a good example of the instant that I am referring to is where one of the lines intersects at one point with the circle
Astrophysics
  • Astrophysics
Jessica were you taught definition\[f'(x) = \lim_{h \rightarrow 0} \frac{ f(x+h)-f(x) }{ h }\] of derivative, I think that's what you have to use
nincompoop
  • nincompoop
now before we proceed, we must be able to identify and know about continuous functions
nincompoop
  • nincompoop
think of this portion as an algebra recap will you be able to tell us if the equation you're given is continuous or not?
nincompoop
  • nincompoop
if you're unsure, now is the time to learn them http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
nincompoop
  • nincompoop
review on tangents with pretty awesome illustration http://tutorial.math.lamar.edu/Classes/CalcI/Tangents_Rates.aspx
nincompoop
  • nincompoop
let us know when you've digested the concept of tangents and derivatives because the next part will be testing your algebra skills with derivatives using limit-definition.

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