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

The answer to (\partial)/(\partial x)((x/2)^2) is x/2

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(\partial)/(\partial x)((x/2)^2)

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

\frac{x}{2}

Solution steps

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

Apply the chain rule:

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

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

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

= 2 \cdot \frac{x}{2} \cdot \frac{1}{2}

Simplify

2 \cdot \frac{x}{2} \cdot \frac{1}{2} : \frac{x}{2}

= \frac{x}{2}

\int_{0}^{1} ln (x) d x

\frac{d}{d x} (\frac{2 x}{7 - tan ( x )})

\int_{a}^{2 a} a - \frac{a ^{3}}{x ^{2}} d x

7 ln (sec (x) + tan (x))

x \to 7 lim (c x + 8)

What is (\partial)/(\partial x)((x/2)^2) ?
The answer to (\partial)/(\partial x)((x/2)^2) is x/2