What is the derivative of f(x)=5cos^2(pix) ?

The derivative of f(x)=5cos^2(pix) is -10picos(pix)sin(pix)

What is the first derivative of f(x)=5cos^2(pix) ?

The first derivative of f(x)=5cos^2(pix) is -10picos(pix)sin(pix)

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derivative of

f (x) = 5 cos^{2} (π x)

- 10 π cos (π x) sin (π x)

Solution steps

\frac{d}{d x} (5 cos^{2} (π x))

Take the constant out:

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

= 5 \frac{d}{d x} (cos^{2} (π x))

Apply the chain rule:

2 cos (π x) \frac{d}{d x} (cos (π x))

= 2 cos (π x) \frac{d}{d x} (cos (π x))

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

= 5 \cdot 2 cos (π x) (- sin (π x) π)

Simplify

= - 10 π cos (π x) sin (π x)

\int 6 \frac{e ^{2 x}}{8} d x

\int x e^{- \frac{x}{2}} d x

\int \frac{10}{1 + 4 x ^{2}} d x

\int \frac{x ^{2} + 6}{x ^{3} + x} d x

\frac{d}{d x} (\frac{5}{( 2 x - 3 ) ^{4}})

What is the derivative of f(x)=5cos^2(pix) ?
The derivative of f(x)=5cos^2(pix) is -10picos(pix)sin(pix)
What is the first derivative of f(x)=5cos^2(pix) ?
The first derivative of f(x)=5cos^2(pix) is -10picos(pix)sin(pix)