What is the derivative of (sin(x))^{(87)} ?

The derivative of (sin(x))^{(87)} is 87sin^{86}(x)cos(x)

What is the first derivative of (sin(x))^{(87)} ?

The first derivative of (sin(x))^{(87)} is 87sin^{86}(x)cos(x)

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derivative of

(sin (x))^{(87)}

87 sin^{86} (x) cos (x)

Solution steps

\frac{d}{d x} ((sin (x))^{87})

Apply the chain rule:

87 (sin (x))^{86} \frac{d}{d x} (sin (x))

= 87 (sin (x))^{86} \frac{d}{d x} (sin (x))

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

= 87 (sin (x))^{86} cos (x)

Simplify

= 87 sin^{86} (x) cos (x)

What is the derivative of (sin(x))^{(87)} ?
The derivative of (sin(x))^{(87)} is 87sin^{86}(x)cos(x)
What is the first derivative of (sin(x))^{(87)} ?
The first derivative of (sin(x))^{(87)} is 87sin^{86}(x)cos(x)