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)

n = 1 \sum \infty (\frac{2}{3})^{n - 1}

x \to o lim (f (x))

f (x) = x^{3} - 2 x^{2} - 2 x + 1

\int \frac{1}{( x ^{2} + 7 ) ^{\frac{3}{2}}} d x

\frac{d x}{d t} = 0

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)