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A) using the product rule, not the chain rule, show that d/dx [f(x)]^2 = 2f(x) f ' (x).

0 votes
A) using the product rule, not the chain rule, show that d/dx [f(x)]^2 = 2f(x) f ' (x).

 

B) let f(x) and g(x) be functions and le p(x)=f(x) g(x) and q(x) = f(x)/g(x) be their proodduct and quotient, respectively. use the following information to determine p'(3) aand q'(3).

f(3)=-2, f'(3)=3  g(3)=7, g'(3)=4
asked Sep 15, 2014 in CALCULUS by anonymous

2 Answers

0 votes

A)

image

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Apply derivative with respect of x .

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Apply product rule in derivatives.

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In this case image

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image

image

answered Sep 15, 2014 by david Expert
0 votes

B) f (3) = - 2, f '(3) = 3, g (3) = 7 and g '(3) = 4.

  • The function image

Apply derivative on each side with respect of x .

image

Apply product rule in derivatives.

image

image

image

image

image

  • The function image

Apply derive on each side with respect of x .

image

Apply quotient rule in derivatives.

image

image

image

image

image

image

answered Sep 15, 2014 by david Expert

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