What is the derivative of h(x)=sin^5(x) ?

The derivative of h(x)=sin^5(x) is 5sin^4(x)cos(x)

What is the first derivative of h(x)=sin^5(x) ?

The first derivative of h(x)=sin^5(x) is 5sin^4(x)cos(x)

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derivative of

h (x) = sin^{5} (x)

5 sin^{4} (x) cos (x)

Solution steps

\frac{d}{d x} (sin^{5} (x))

Apply the chain rule:

5 (sin (x))^{4} \frac{d}{d x} (sin (x))

= 5 (sin (x))^{4} \frac{d}{d x} (sin (x))

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

= 5 (sin (x))^{4} cos (x)

Simplify

= 5 sin^{4} (x) cos (x)

x^{2} - x + 2

\int \frac{3 a x ^{2} - 2 b x}{a x ^{3} - b x ^{2}} d x

\int \frac{3 x + 2}{x - 1} d x

\frac{1 - 3 t}{5 + t}

What is the derivative of h(x)=sin^5(x) ?
The derivative of h(x)=sin^5(x) is 5sin^4(x)cos(x)
What is the first derivative of h(x)=sin^5(x) ?
The first derivative of h(x)=sin^5(x) is 5sin^4(x)cos(x)