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

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

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

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

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\frac{d}{d x} (sin (π cos (x)))

- π cos (π cos (x)) sin (x)

Solution steps

\frac{d}{d x} (sin (π cos (x)))

Apply the chain rule:

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

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

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

= cos (π cos (x)) (- π sin (x))

Simplify

= - π cos (π cos (x)) sin (x)

\int 7^{3 x} d x

\int (x + x)^{2} d x

x \to 2 lim (e^{x} - 1)

\frac{d}{d x} (\frac{cos ( x )}{x ^{3}})

\int (x + 2 y + 3 z)^{2} d x

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