What is the derivative of (sin(2x)/4) ?

The derivative of (sin(2x)/4) is 1/2 cos(2x)

What is the first derivative of (sin(2x)/4) ?

The first derivative of (sin(2x)/4) is 1/2 cos(2x)

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\frac{d}{d x} (\frac{sin ( 2 x )}{4})

\frac{1}{2} cos (2 x)

Solution steps

\frac{d}{d x} (\frac{sin ( 2 x )}{4})

Take the constant out:

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

= \frac{1}{4} \frac{d}{d x} (sin (2 x))

Apply the chain rule:

cos (2 x) \frac{d}{d x} (2 x)

= cos (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= \frac{1}{4} cos (2 x) \cdot 2

Simplify

\frac{1}{4} cos (2 x) \cdot 2 : \frac{1}{2} cos (2 x)

= \frac{1}{2} cos (2 x)

\int_{0}^{π} cos^{4} (x) sin (x) d x

\frac{\partial}{\partial y} (x + 2 y - 6)

\int_{- 8}^{8} 64 - x^{2} d x

\int 9 x e^{x^{2}} d x

h (t - 2 π) sin (t - 2 π)

What is the derivative of (sin(2x)/4) ?
The derivative of (sin(2x)/4) is 1/2 cos(2x)
What is the first derivative of (sin(2x)/4) ?
The first derivative of (sin(2x)/4) is 1/2 cos(2x)