What is the derivative of 2sin(pix) ?

The derivative of 2sin(pix) is 2cos(pix)pi

What is the first derivative of 2sin(pix) ?

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

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\frac{d}{d x} (2 sin (π x))

2 cos (π x) π

Solution steps

\frac{d}{d x} (2 sin (π x))

Take the constant out:

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

= 2 \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

= 2 cos (π x) π

s im pl i f y (x^{- 2} + x^{- 3}) \cdot (x^{5} - 2 x^{2})

\frac{d y}{d t} = y (3 - y)

\frac{d}{d x} (\frac{2 x}{x + 1})

\int \frac{x}{2} + 1 d x

\int x^{6} - x^{4} d x

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