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Popular >

derivative of sin^3(cos(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

Graph

Popular Examples

(d^2y}{dx^2}=\frac{(6x^5))/5-3x

\frac{d ^{2} y}{d x ^{2}} = \frac{( 6 x ^{5} )}{5} - 3 x

limit as n approaches infinity of \sqrt[n]{0.25}-n/n

n \to \infty lim (n 0.25 - \frac{n}{n})

derivative of y=(x^2+1)/(x+1)derivative of

y = \frac{x ^{2} + 1}{x + 1}

integral from 1 to 6 of wsqrt(w+3)

\int_{1}^{6} w w + 3 d w

y^{''}+y^'+4y=5x-7

y^{^{''}} + y^{^{'}} + 4 y = 5 x - 7

Frequently Asked Questions (FAQ)

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