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

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

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

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

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derivative of

y = 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)

\frac{d}{d x} (ln (2 x + 3 y))

(2 x^{2} y + 2 y + 5) d x + (2 x^{3} + 2 x) d y = 0

\int e^{- a x} x d x

\int_{0}^{1} \frac{- 5 x}{e ^{2 x}} d x

\frac{d}{d x} (16 (x + 2)^{3})

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