Calculus Examples

$h (x) = \int_{1}^{\sqrt{x}} \frac{5 z^{2}}{z^{4} + 1} d z$

Step 1

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

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

Step 2

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

$h \cdot 1$

Step 3

Multiply $h$ by $1$ .

$h$