anonymous
  • anonymous
What is the f'(x) of f(X)=sin^3x
Calculus1
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Have you attempted this one yet ?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
\[f(x) = \sin ^{3}(x)\] Did I write this down correctly? If so, try substitution. For example, let u = sin(x) and then take the derivative of u^3

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
I got f'(X) is 9x^2cosx^2
anonymous
  • anonymous
that is 3u^2
anonymous
  • anonymous
3u^2 du/dx, yes. Now what is du/dx if u = sin x?
anonymous
  • anonymous
In other words, what is u' if u = sin x
anonymous
  • anonymous
cosx^2
anonymous
  • anonymous
What is the derivative of sin(x) ?
anonymous
  • anonymous
COS
anonymous
  • anonymous
Great, 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 ?
anonymous
  • anonymous
|dw:1357249368629:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.