anonymous
  • anonymous
how to solve dy/dx: cos*2X
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
derivative of cos (chain 2x)
anonymous
  • anonymous
sin2x*2
anonymous
  • anonymous
Are you sure, Starica is getting ready to correct you

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anonymous
  • anonymous
awww i thought we r to find dy/dx :S
anonymous
  • anonymous
you just derive the outside and inside ^_^ outside = cos inside 2x so dy/dx of cos = -sin and dy/dx of 2x = 2 soooo, dy/dx cos(2x) = -2sin(2x)
anonymous
  • anonymous
o_o... but wasn't she right?
anonymous
  • anonymous
no i missed the negative sign
anonymous
  • anonymous
isn't it finding the derivative of cos(2x)?
anonymous
  • anonymous
lol, it's alright :)
anonymous
  • anonymous
i guessed it so
anonymous
  • anonymous
you were close =P
anonymous
  • anonymous
thanks:p
anonymous
  • anonymous
np ^_^, do you get it now sandip?
anonymous
  • anonymous
no its finding the derivative of cos^2x
anonymous
  • anonymous
OH! so the question is: \[\frac{dy}{dx} \cos^2(x)\]?
anonymous
  • anonymous
ya
anonymous
  • anonymous
alright so we have 2 steps, first outside then inside, our outside here is the power and the inside is cos(x) so dy/dx = - 2cos(x) sin(x) ^_^
anonymous
  • anonymous
but star ...dont u think it must b y= cos^2x n find dy/dx??
anonymous
  • anonymous
yeah lol
anonymous
  • anonymous
wasn't I right? o_o
anonymous
  • anonymous
... Go by the definition of the chain rule. \[Let\ (cos\ x)^2 = f(g(x))\] What is our f(x), what is our g(x)?
anonymous
  • anonymous
she/he doesn't get the chain rule >_< lol
anonymous
  • anonymous
in a much simpler way do it this way: cos(x) . cos(x) u'v + uv' ^_^ and solve
anonymous
  • anonymous
I hope this way helps though :)
anonymous
  • anonymous
alright gtg, later ^_^
anonymous
  • anonymous
he-she isn't going to be able to do any of the rest of their homework if they don't understand the chain rule. This is a good opportunity to learn the chain rule since you need it to solve this problem.
anonymous
  • anonymous
What can I say. Star likes manual labor.
anonymous
  • anonymous
lol, I'm just trying to get it clear for him/her ^_^?

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