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

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

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

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

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derivative of

y = 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)

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

n = 0 \sum \infty 2^{(3 - 2 n)}

x = 1 - y^{2}, x = y^{2} - 1

\frac{1 - t ^{2}}{( 1 + t ^{2} ) ^{2}}

x \to 2 lim ((2 x + 5)^{x - 3})

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