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Popular >

derivative of 4sin(x/2)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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\int_{- \infty}^{0} \frac{1}{7 - 9 x} d x

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\frac{d}{d x} (5 e^{- 2 x} + 4)

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\frac{d}{d x} (8^{4 - x^{2}})

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(x^{2} - 35)^{6}

derivative of 1/(sin(x+cos(x)))

\frac{d}{d x} (\frac{1}{sin ( x ) + cos ( x )})

Frequently Asked Questions (FAQ)

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