What is the derivative of picos(pix) ?

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

What is the first derivative of picos(pix) ?

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

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\frac{d}{d x} (π cos (π x))

- π^{2} sin (π x)

Solution steps

\frac{d}{d x} (π cos (π x))

Take the constant out:

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

= π \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

= π (- sin (π x) π)

Simplify

π (- sin (π x) π) : - π^{2} sin (π x)

= - π^{2} sin (π x)

\frac{d P}{d t} + 3 P = 90

\frac{d}{d x} (x^{4} - \frac{1}{3} x^{3} - \frac{3}{2} x^{2})

n = 0 \sum \infty \frac{n - 1}{n + 1}

x^{2} - 4 x + 3, x

(4 t + 2)^{2} (2 t^{2} - 9)^{- 3}

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