What is the derivative of-sin(pixpi) ?

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

What is the first derivative of-sin(pixpi) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (- sin (π x) π)

- π^{2} cos (π x)

Solution steps

\frac{d}{d x} (- sin (π x) π)

Take the constant out:

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

= - 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

= - π cos (π x) π

Simplify

- π cos (π x) π : - π^{2} cos (π x)

= - π^{2} cos (π x)

9 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 5 x e^{- y}

\frac{d}{d x} ((x - 3)^{\frac{4}{5}} (x + 1)^{\frac{1}{5}})

y = 2 x^{- 3}

\frac{d y}{d x} = (\frac{1}{1 + x ^{2}})

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