What is the derivative of sin^7(x) ?

The derivative of sin^7(x) is 7sin^6(x)cos(x)

What is the first derivative of sin^7(x) ?

The first derivative of sin^7(x) is 7sin^6(x)cos(x)

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derivative of

sin^{7} (x)

7 sin^{6} (x) cos (x)

Solution steps

\frac{d}{d x} (sin^{7} (x))

Apply the chain rule:

7 (sin (x))^{6} \frac{d}{d x} (sin (x))

= 7 (sin (x))^{6} \frac{d}{d x} (sin (x))

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

= 7 (sin (x))^{6} cos (x)

Simplify

= 7 sin^{6} (x) cos (x)

\int - 2 + 12 x - 12 x^{2} d x

\int \frac{e ^{8 x}}{e ^{8 x} + 4} d x

f (x) = x^{2} + 3 x - 1, at x = 0

x \to 0 - lim (x \cdot ln (x))

\frac{d}{d x} (\frac{6 x + y}{x ^{2} + y ^{2}})

What is the derivative of sin^7(x) ?
The derivative of sin^7(x) is 7sin^6(x)cos(x)
What is the first derivative of sin^7(x) ?
The first derivative of sin^7(x) is 7sin^6(x)cos(x)