Find the Derivative - d/dx 4pix^2

$4 π x^{2}$

Step 1

Since $4 π$ is constant with respect to $x$ , the derivative of $4 π x^{2}$ with respect to $x$ is $4 π \frac{d}{d x} [x^{2}]$ .

$4 π \frac{d}{d x} [x^{2}]$

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 2$ .

$4 π (2 x)$

Step 3

Multiply $2$ by $4$ .

$8 π x$