What is (\partial)/(\partial x)(sin(x/2)) ?

The answer to (\partial)/(\partial x)(sin(x/2)) is cos(x/2) 1/2

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(\partial)/(\partial x)(sin(x/2))

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int_{1}^{4} x^{2} - 2 x + 3 d x

\frac{d y}{d x} = \frac{( y ^{2} + 3 x y + x ^{2} )}{x ^{2}}

\frac{d}{d x} ((2 - x)^{3})

\int - \frac{1}{2 x} d x

x \to \frac{π}{3} - lim (cot (3 x))

What is (\partial)/(\partial x)(sin(x/2)) ?
The answer to (\partial)/(\partial x)(sin(x/2)) is cos(x/2) 1/2