What is the derivative of f(x)=sin^6(x) ?

The derivative of f(x)=sin^6(x) is 6sin^5(x)cos(x)

What is the first derivative of f(x)=sin^6(x) ?

The first derivative of f(x)=sin^6(x) is 6sin^5(x)cos(x)

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derivative of

f (x) = sin^{6} (x)

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

Solution steps

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

Apply the chain rule:

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

= 6 (sin (x))^{5} \frac{d}{d x} (sin (x))

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

= 6 (sin (x))^{5} cos (x)

Simplify

= 6 sin^{5} (x) cos (x)

\int \frac{e ^{x}}{1 - 4 e ^{2 x}} d x

\frac{1.5}{( ( s + 1 ) )}

y^{^{'}} = e^{4 y} sin (5 x)

\frac{d}{d θ} (sin (3 θ))

\int x^{2} a^{2 x} d x

What is the derivative of f(x)=sin^6(x) ?
The derivative of f(x)=sin^6(x) is 6sin^5(x)cos(x)
What is the first derivative of f(x)=sin^6(x) ?
The first derivative of f(x)=sin^6(x) is 6sin^5(x)cos(x)