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Popular >

derivative of sin^3(cos(8x))

Solution

derivative of

sin^{3} (cos (8 x))

Solution

- 24 sin^{2} (cos (8 x)) cos (cos (8 x)) sin (8 x)

Solution steps

\frac{d}{d x} (sin^{3} (cos (8 x)))

Apply the chain rule:

3 (sin (cos (8 x)))^{2} \frac{d}{d x} (sin (cos (8 x)))

= 3 (sin (cos (8 x)))^{2} \frac{d}{d x} (sin (cos (8 x)))

\frac{d}{d x} (sin (cos (8 x))) = - 8 cos (cos (8 x)) sin (8 x)

= 3 (sin (cos (8 x)))^{2} (- 8 cos (cos (8 x)) sin (8 x))

Simplify

= - 24 sin^{2} (cos (8 x)) cos (cos (8 x)) sin (8 x)

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\frac{\partial}{\partial x} (4 + ln (x y - 5))

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\int 4^{k} d k

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f (θ) = \frac{sin ( θ )}{1 + cos ( θ )}

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\frac{d}{d x} (2 x^{3} + 15 x^{2} - 84 x + 10)

Frequently Asked Questions (FAQ)

What is the derivative of sin^3(cos(8x)) ?
The derivative of sin^3(cos(8x)) is -24sin^2(cos(8x))cos(cos(8x))sin(8x)
What is the first derivative of sin^3(cos(8x)) ?
The first derivative of sin^3(cos(8x)) is -24sin^2(cos(8x))cos(cos(8x))sin(8x)