Posted by **Sarah** on Friday, June 15, 2012 at 12:16am.

Differentiate each function

a) y = Cos³ x

b) y = Sin(x³)

c) y = Sin²xCos3x

- Calculus -
**Damon**, Friday, June 15, 2012 at 2:46am
a)

let z = cos x then dz/dx = -sin x

y = z^3

y' = 3 z^2 dz/dx

y' = 3 cos^2 x (-sin x)

= -3 sin x cos^2 x

- Calculus -
**Damon**, Friday, June 15, 2012 at 2:49am
b)

let z = x^3 then dz/dx = 3 x^2

y = sin z

y' = cos z dz/dx

= cos(x^3) (3 x^2)

= 3 x^2 cos x^3

- Calculus -
**Damon**, Friday, June 15, 2012 at 2:52am
c)y' = sin^2 x (-3sin 3x)+ cos 3x (2 sin x cos x

= -3sin 3x sin^2 x + 2 cos 3x sin x cos x

## Answer This Question

## Related Questions

- Calculus grade 12 - differentiate the function a) y = cos³x b) y = Sin²xCos3x c...
- Calculus grade 12 - differentiate the function ( a) y = cos³x b) y = Sin²xCos3x ...
- trigo help! - 1. differentiate cos(3/x) 2. differentiate sin(4/x) 3. ...
- Calculus - How would you differentiate each function? 1.) v(t)= sin^2 (sqrt (t...
- trigonometry - Verify that following are identities: 1. cos 3t = 4 cos³ t-3 cos ...
- Calculus - differentiate each function a) y = cos^3x b) y = sin(x^3) c) y = sin^...
- Calculus - Differentiate the following function. f (x) = 7 sin(x) + 1/6 cot(x)
- calculus - Differentiate the following function. f (x) = 6 x 2 sin(x)tan(x) ...
- Maths - Calculus - Can anyone help with this...I need to find the derivative of...
- Maths - Calculus - Can anyone help with this...I need to find the derivative of...

More Related Questions