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differentiate using chain rule

0 votes
differentiate

g(x)=((2x^3+1)/(x^2+1))^(-2/3)

f(x)=e^(tan(sqrt x)+1)
asked Feb 19, 2015 in CALCULUS by anonymous
reshown Feb 19, 2015 by steve

1 Answer

0 votes

Step 1:

The function is image.

Apply derivative on each side with respect to image.

image

Use power rule combined  with the chain rule of derivative : image.

image

Step 2:

The function is image.

Apply derivative on each side with respect to image.

image

Use exponential rule combined with chain rule of derivative : image.

image

Solution :

image

image

answered Feb 19, 2015 by joseph Apprentice

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