Calculus Examples

$y = 6 π^{3} - 8 π^{2} + 24$

Step 1

By the Sum Rule, the derivative of $6 π^{3} - 8 π^{2} + 24$ with respect to $x$ is $\frac{d}{d x} [6 π^{3}] + \frac{d}{d x} [- 8 π^{2}] + \frac{d}{d x} [24]$ .

$\frac{d}{d x} [6 π^{3}] + \frac{d}{d x} [- 8 π^{2}] + \frac{d}{d x} [24]$

Step 2

Since $6 π^{3}$ is constant with respect to $x$ , the derivative of $6 π^{3}$ with respect to $x$ is $0$ .

$0 + \frac{d}{d x} [- 8 π^{2}] + \frac{d}{d x} [24]$

Step 3

Since $- 8 π^{2}$ is constant with respect to $x$ , the derivative of $- 8 π^{2}$ with respect to $x$ is $0$ .

$0 + 0 + \frac{d}{d x} [24]$

Step 4

Since $24$ is constant with respect to $x$ , the derivative of $24$ with respect to $x$ is $0$ .

$0 + 0 + 0$

Step 5

Combine terms.

Tap for more steps...

Step 5.1

Add $0$ and $0$ .

$0 + 0$

Step 5.2

Add $0$ and $0$ .

$0$