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

The derivative of 1/4 cos(x/4) is -1/16 sin(x/4)

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

The first derivative of 1/4 cos(x/4) is -1/16 sin(x/4)

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

- \frac{1}{16} sin (\frac{x}{4})

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{4} (- sin (\frac{x}{4}) \frac{1}{4}) : - \frac{1}{16} sin (\frac{x}{4})

= - \frac{1}{16} sin (\frac{x}{4})

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What is the derivative of 1/4 cos(x/4) ?
The derivative of 1/4 cos(x/4) is -1/16 sin(x/4)
What is the first derivative of 1/4 cos(x/4) ?
The first derivative of 1/4 cos(x/4) is -1/16 sin(x/4)