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Popular >

derivative of-pi^2cos(pix)

Solution

\frac{d}{d x} (- π^{2} cos (π x))

Solution

π^{3} sin (π x)

Solution steps

\frac{d}{d x} (- π^{2} cos (π x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - π^{2} \frac{d}{d x} (cos (π x))

Apply the chain rule:

- sin (π x) \frac{d}{d x} (π x)

= - sin (π x) \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= - π^{2} (- sin (π x) π)

Simplify

- π^{2} (- sin (π x) π) : π^{3} sin (π x)

= π^{3} sin (π x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of-pi^2cos(pix) ?
The derivative of-pi^2cos(pix) is pi^3sin(pix)
What is the first derivative of-pi^2cos(pix) ?
The first derivative of-pi^2cos(pix) is pi^3sin(pix)