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

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

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

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

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derivative of

- \frac{1}{4} cos (4 x)

sin (4 x)

Solution steps

\frac{d}{d x} (- \frac{1}{4} cos (4 x))

Take the constant out:

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

= - \frac{1}{4} \frac{d}{d x} (cos (4 x))

Apply the chain rule:

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

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

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

= - \frac{1}{4} (- sin (4 x) \cdot 4)

Simplify

- \frac{1}{4} (- sin (4 x) \cdot 4) : sin (4 x)

= sin (4 x)

\int \frac{x + 7}{x ^{2} + 4} d x

\frac{\partial}{\partial t} (s t u^{2})

7 t \frac{d y}{d t} + y = t^{3}

\frac{d}{d x} (\frac{x}{x + 8})

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

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