What is the derivative of 4sin(pi*x) ?

The derivative of 4sin(pi*x) is 4cos(pix)pi

What is the first derivative of 4sin(pi*x) ?

The first derivative of 4sin(pi*x) is 4cos(pix)pi

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derivative of

4 sin (π \cdot x)

4 cos (π x) π

Solution steps

\frac{d}{d x} (4 sin (π x))

Take the constant out:

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

= 4 \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

= 4 cos (π x) π

\int_{0}^{1} x^{- 2} d x

4 \frac{d y}{d x} + 36 y = 9

\frac{( 6 x ^{2} - 11 x + 2 )}{( 3 x - 1 )}

\int (ln^{2} (x)) d x

\frac{d}{d x} (cos (y) \cdot \frac{d y}{d x})

What is the derivative of 4sin(pi*x) ?
The derivative of 4sin(pi*x) is 4cos(pix)pi
What is the first derivative of 4sin(pi*x) ?
The first derivative of 4sin(pi*x) is 4cos(pix)pi