What is the derivative of-pi^2sin(pix) ?

The derivative of-pi^2sin(pix) is -pi^3cos(pix)

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

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

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\frac{d}{d x} (- π^{2} sin (π x))

- π^{3} cos (π x)

Solution steps

\frac{d}{d x} (- π^{2} sin (π x))

Take the constant out:

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

= - π^{2} \frac{d}{d x} (sin (π x))

Apply the chain rule:

cos (π x) \frac{d}{d x} (π x)

= cos (π x) \frac{d}{d x} (π x)

\frac{d}{d x} (π x) = π

= - π^{2} cos (π x) π

Simplify

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

= - π^{3} cos (π x)

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