What is the derivative of 5cos(pix) ?

The derivative of 5cos(pix) is -5pisin(pix)

What is the first derivative of 5cos(pix) ?

The first derivative of 5cos(pix) is -5pisin(pix)

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\frac{d}{d x} (5 cos (π x))

- 5 π sin (π x)

Solution steps

\frac{d}{d x} (5 cos (π x))

Take the constant out:

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

= 5 \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

= 5 (- sin (π x) π)

Simplify

= - 5 π sin (π x)

\int 2 x e^{5 x} d x

n = 1 \sum \infty \frac{1}{4 + e ^{- n}}

\frac{d}{d x} (\frac{1}{e ^{3 x}})

\int \frac{u}{u ^{2} + 4} d u

y = 6 x

What is the derivative of 5cos(pix) ?
The derivative of 5cos(pix) is -5pisin(pix)
What is the first derivative of 5cos(pix) ?
The first derivative of 5cos(pix) is -5pisin(pix)