Calculus Examples

$g (x) = \int_{0}^{x} \frac{t^{2} - t}{\sqrt{t}} d t$

Step 1

Since $g$ is constant with respect to $x$ , the derivative of $g x$ with respect to $x$ is $g \frac{d}{d x} [x]$ .

$g \frac{d}{d x} [x]$

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 1$ .

$g \cdot 1$

Step 3

Multiply $g$ by $1$ .

$g$