Calculus Examples

$y = - 7 x^{2} - 2 x$

Step 1

By the Sum Rule, the derivative of $- 7 x^{2} - 2 x$ with respect to $y$ is $\frac{d}{d y} [- 7 x^{2}] + \frac{d}{d y} [- 2 x]$ .

$\frac{d}{d y} [- 7 x^{2}] + \frac{d}{d y} [- 2 x]$

Step 2

Since $- 7 x^{2}$ is constant with respect to $y$ , the derivative of $- 7 x^{2}$ with respect to $y$ is $0$ .

$0 + \frac{d}{d y} [- 2 x]$

Step 3

Since $- 2 x$ is constant with respect to $y$ , the derivative of $- 2 x$ with respect to $y$ is $0$ .

$0 + 0$

Step 4

Add $0$ and $0$ .

$0$