What is the derivative of 1/4 sin(4x) ?

The derivative of 1/4 sin(4x) is cos(4x)

What is the first derivative of 1/4 sin(4x) ?

The first derivative of 1/4 sin(4x) is cos(4x)

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\frac{d}{d x} (\frac{1}{4} sin (4 x))

cos (4 x)

Solution steps

\frac{d}{d x} (\frac{1}{4} sin (4 x))

Take the constant out:

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

= \frac{1}{4} \frac{d}{d x} (sin (4 x))

Apply the chain rule:

cos (4 x) \frac{d}{d x} (4 x)

= cos (4 x) \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= \frac{1}{4} cos (4 x) \cdot 4

Simplify

\frac{1}{4} cos (4 x) \cdot 4 : cos (4 x)

= cos (4 x)

What is the derivative of 1/4 sin(4x) ?
The derivative of 1/4 sin(4x) is cos(4x)
What is the first derivative of 1/4 sin(4x) ?
The first derivative of 1/4 sin(4x) is cos(4x)