Calculus Examples

$G (x) = \int_{1}^{x} \sin (t^{2}) d t$

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 $1$ .

$G$