A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Suppose
f(1) = 16 and f '(1) = 9
. Find the derivatives of the following functions
a. g(x) = sqrt(f(x))
g prime (1) =
b. h(x) = 1/(f(x))
h prime (1) =
anonymous
 one year ago
Suppose f(1) = 16 and f '(1) = 9 . Find the derivatives of the following functions a. g(x) = sqrt(f(x)) g prime (1) = b. h(x) = 1/(f(x)) h prime (1) =

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is just like taking the derivative of x, but remember that since we have another function of x, we have to include the chain rule. a). \[g(x)=\sqrt{f(x)} \rightarrow g'(x)=\frac{ 1 }{ 2\sqrt{f(x)} }*f'(x)\]\[g'(1)=\frac{ f'(1) }{ 2\sqrt{f(1)} } \rightarrow g'(1)=\frac{ 9 }{ 2\sqrt{16} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0b). After rearranging the equation, we can use the power rule\[h(x)=(f(x))^{1} \rightarrow h'(x)=1(f(x))^{2}*f'(x)\] \[h'(1)=\frac{ f'(1) }{ (f(1))^2 }\] Now just plug in the values that you were given This could also be obtained from the quotient rule if we decided to keep it as 1/f(x).
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.