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

The derivative of (x/2 ^2) is x/2

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

The first derivative of (x/2 ^2) is x/2

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

\frac{x}{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d 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 9 cos (x) d x

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