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

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

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

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

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derivative of

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 + 3}{4 - ( x - 2 ) ^{2}} d x

(2 x + 3) y^{^{'}} = y + 2 x + 3

\frac{1 d y}{x ^{2} d x} = y^{2} + 9

2^{90}

f (x) = 2 x^{2} - 7 x + 5

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