A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Suppose
f(π/3) = 3 and f '(π/3) = −5,
and let
g(x) = f(x) sin x
and
h(x) = (cos x)/f(x).
Find the following.
(a)
g'(π/3)
anonymous
 one year ago
Suppose f(π/3) = 3 and f '(π/3) = −5, and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find the following. (a) g'(π/3)

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and h'(pi/3) I found g' but im having a difficult time with h'

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, we would just need to do a quotient rule and find the derivative of h(x). Did you try doing that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah but i got it wrong, im not sure what i did

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, derivative of cos(x) is sin(x) and derivative of f(x) is f'(x). So following quotient rule we have \[h'(x) = \frac{ \sin(x)f(x)\cos(x)f'(x) }{ [f(x)]^{2} }\] Now we justplug in pi/3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Im confused, i would plug in pi/3 for the x, or the values that i was given?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Plug in pi/3 into every x in h'(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would my answer be (5/18)3root3/18?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes. And of course the 3root3/18 goes root3/6
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.