Solve 410-20-y-18

$$410 - 20 - y - 18$$

Evaluate

$$372-y$$

Solution Steps

Subtract 20 from 410 to get 390.

$$390-y-18$$

Subtract 18 from 390 to get 372.

$$372-y$$

Differentiate w.r.t. y

$$-1$$

Steps Using Derivative Rule for Sum

Subtract 20 from 410 to get 390.

$$\frac{\mathrm{d}}{\mathrm{d}y}(390-y-18)$$

Subtract 18 from 390 to get 372.

$$\frac{\mathrm{d}}{\mathrm{d}y}(372-y)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-y^{1-1}$$

Subtract 1 from 1.

$$-y^{0}$$

For any term t except 0, t^{0}=1.

$$-1$$