What is the derivative of sin(cos(5x)) ?

The derivative of sin(cos(5x)) is -5cos(cos(5x))sin(5x)

What is the first derivative of sin(cos(5x)) ?

The first derivative of sin(cos(5x)) is -5cos(cos(5x))sin(5x)

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derivative of

sin (cos (5 x))

- 5 cos (cos (5 x)) sin (5 x)

Solution steps

\frac{d}{d x} (sin (cos (5 x)))

Apply the chain rule:

cos (cos (5 x)) \frac{d}{d x} (cos (5 x))

= cos (cos (5 x)) \frac{d}{d x} (cos (5 x))

\frac{d}{d x} (cos (5 x)) = - sin (5 x) \cdot 5

= cos (cos (5 x)) (- sin (5 x) \cdot 5)

Simplify

= - 5 cos (cos (5 x)) sin (5 x)

\int sin (x) + 8 d x

\int \frac{8}{x ^{8}} d x

b x^{4}

\frac{d}{d x} ((1 - x)^{4})

x^{2} - 6, 12 - x^{2}

What is the derivative of sin(cos(5x)) ?
The derivative of sin(cos(5x)) is -5cos(cos(5x))sin(5x)
What is the first derivative of sin(cos(5x)) ?
The first derivative of sin(cos(5x)) is -5cos(cos(5x))sin(5x)