anonymous
  • anonymous
differentiate y=cos^-1(tan3x^4)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Please let me first work through it. It will take one minute.
SolomonZelman
  • SolomonZelman
\(\large\color{black}{ \displaystyle y=\cos^{-1}(\tan~(3x^4)~) }\) at first, \(\large\color{black}{ \displaystyle \cos(y)=\tan~(3x^4)~ }\)
anonymous
  • anonymous
SO basically in derivatives for sin cos and tan, The derivative of sin x is cos x, The derivative of cos x is −sin x (note the negative sign!) and The derivative of tan x is sec2x.

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SolomonZelman
  • SolomonZelman
then use Implicit Differentiation
anonymous
  • anonymous
Well solomon seems to have got this lol
anonymous
  • anonymous
So the answer is cos(y)=tan(3x^4) or is there still more steps.

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