What is the derivative of sin^2(cos(x)) ?

The derivative of sin^2(cos(x)) is -sin(2cos(x))sin(x)

What is the first derivative of sin^2(cos(x)) ?

The first derivative of sin^2(cos(x)) is -sin(2cos(x))sin(x)

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\frac{d}{d x} (sin^{2} (cos (x)))

- sin (2 cos (x)) sin (x)

Solution steps

\frac{d}{d x} (sin^{2} (cos (x)))

Apply the chain rule:

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

= 2 sin (cos (x)) \frac{d}{d x} (sin (cos (x)))

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

= 2 sin (cos (x)) (- cos (cos (x)) sin (x))

Simplify

2 sin (cos (x)) (- cos (cos (x)) sin (x)) : - sin (2 cos (x)) sin (x)

= - sin (2 cos (x)) sin (x)

\frac{\partial}{\partial y} (6 y)

\int \frac{z}{z + 1} d z

12 (2 x - 3)^{5}

\int 1 - cos (t) d t

4 x^{2} y^{^{'}} = y^{^{'}} + 4 x e^{- y}

What is the derivative of sin^2(cos(x)) ?
The derivative of sin^2(cos(x)) is -sin(2cos(x))sin(x)
What is the first derivative of sin^2(cos(x)) ?
The first derivative of sin^2(cos(x)) is -sin(2cos(x))sin(x)