Derivative of sin^3x - Is it 3(sinx)^2 * cosx?

  • Thread starter gr3g1
  • Start date
  • Tags
    Derivative
In summary, the derivative of sin^3x is 3(sinx)^2 * cosx. To find the derivative, use the chain rule and the power rule. The derivative can also be simplified to 3sinx - 3sin^3x or written as 3sinx - sin3x or 3sinxcos^2x.
  • #1
gr3g1
71
0
Hi,

sin^3x is thhe same as (sinx)^3

So, I use thhe chain rule and get
3(sinx)^2 * cosx

is this corrent?
 
Physics news on Phys.org
  • #2
yes that is right
 

What is the derivative of sin^3x?

The derivative of sin^3x is 3(sinx)^2 * cosx.

How do you find the derivative of sin^3x?

To find the derivative of sin^3x, use the chain rule and the power rule. First, rewrite sin^3x as (sinx)^3. Then, take the derivative of (sinx)^3 using the power rule, which gives 3(sinx)^2. Finally, multiply by the derivative of the inner function, which is cosx, to get 3(sinx)^2 * cosx.

Is the derivative of sin^3x equal to 3(sinx)^2 * cosx?

Yes, the derivative of sin^3x is equal to 3(sinx)^2 * cosx.

Can the derivative of sin^3x be simplified?

Yes, the derivative of sin^3x can be simplified to 3sinx - 3sin^3x.

Are there any other ways to express the derivative of sin^3x?

Yes, the derivative of sin^3x can also be written as 3sinx - sin3x or 3sinxcos^2x.

Similar threads

  • Calculus and Beyond Homework Help
Replies
3
Views
346
  • Calculus and Beyond Homework Help
Replies
6
Views
952
  • Calculus and Beyond Homework Help
Replies
5
Views
1K
  • Calculus and Beyond Homework Help
Replies
2
Views
1K
  • Calculus and Beyond Homework Help
Replies
1
Views
1K
  • Calculus and Beyond Homework Help
Replies
9
Views
1K
  • Calculus and Beyond Homework Help
Replies
2
Views
821
  • Calculus and Beyond Homework Help
Replies
8
Views
1K
  • Calculus and Beyond Homework Help
Replies
3
Views
2K
  • Calculus and Beyond Homework Help
Replies
3
Views
2K
Back
Top