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

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

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

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

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derivative of

sin (cos (x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int \frac{1}{3 x ( 4 + x )} d x

\int - 3 x^{2} e^{x} d x

\frac{\partial}{\partial x} (x + 3 lo g_{10} (x) - y^{2})

\int \frac{18}{x 1 + 2 x} d x

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