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Popular >

derivative of 2sin^2(x/2)

Solution

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

Solution

sin (x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

= sin (x)

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\frac{d}{d x} (ln (4 + ln (x)))

(\partial)/(\partial x)(axln(ax))

\frac{\partial}{\partial x} (a x ln (a x))

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\int 49 y d y

Frequently Asked Questions (FAQ)

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