A community for students.
Here's the question you clicked on:
 0 viewing
Alexalayne
 2 years ago
What is the f'(x) of f(X)=sin^3x
Alexalayne
 2 years ago
What is the f'(x) of f(X)=sin^3x

This Question is Open

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.1Have you attempted this one yet ?

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.1\[f(x) = \sin ^{3}(x)\] Did I write this down correctly? If so, try substitution. For example, let u = sin(x) and then take the derivative of u^3

Alexalayne
 2 years ago
Best ResponseYou've already chosen the best response.0I got f'(X) is 9x^2cosx^2

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.13u^2 du/dx, yes. Now what is du/dx if u = sin x?

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.1In other words, what is u' if u = sin x

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.1What is the derivative of sin(x) ?

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.1Great, so du/dx = cos x So we have 3u^2 * cos x Substitute u = sin(x) back in and what do we end up with ?

LogicalApple
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1357249368629:dw
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.