What is the derivative of f(x)=-24pisin(pix) ?

The derivative of f(x)=-24pisin(pix) is -24pi^2cos(pix)

What is the first derivative of f(x)=-24pisin(pix) ?

The first derivative of f(x)=-24pisin(pix) is -24pi^2cos(pix)

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derivative of

f (x) = - 24 π sin (π x)

- 24 π^{2} cos (π x)

Solution steps

\frac{d}{d x} (- 24 π sin (π x))

Take the constant out:

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

= - 24 π \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

= - 24 π cos (π x) π

Simplify

- 24 π cos (π x) π : - 24 π^{2} cos (π x)

= - 24 π^{2} cos (π x)

What is the derivative of f(x)=-24pisin(pix) ?
The derivative of f(x)=-24pisin(pix) is -24pi^2cos(pix)
What is the first derivative of f(x)=-24pisin(pix) ?
The first derivative of f(x)=-24pisin(pix) is -24pi^2cos(pix)