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 ...
- Calculus - differentiate each function a) y = cos^3x b) y = sin(x^3) c) y = sin^...
- Calculus - please check my work - differentiate each function a) y = cos^3x b) y...
- calculus - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x...
- TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...
- tigonometry - expres the following as sums and differences of sines or cosines ...
- Calc. - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln...
- Math - Calculus - The identity below is significant because it relates 3 ...
- Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...

More Related Questions