Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

  
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,943 users

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

image

Apply derivative with respect of x .

image

Apply product rule in derivatives.

image

In this case image

image

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

Related questions

asked May 1, 2015 in CALCULUS by anonymous
asked Feb 21, 2015 in CALCULUS by anonymous
asked Feb 19, 2015 in CALCULUS by anonymous
asked Sep 11, 2018 in CALCULUS by anonymous
...