Solve -5z+13+7z-2

$$- 5 z + 13 + 7 z - 2$$

Evaluate

$$2z+11$$

Solution Steps

Combine -5z and 7z to get 2z.

$$2z+13-2$$

Subtract 2 from 13 to get 11.

$$2z+11$$

Differentiate w.r.t. z

$$2$$

Steps Using Derivative Rule for Sum

Combine -5z and 7z to get 2z.

$$\frac{\mathrm{d}}{\mathrm{d}z}(2z+13-2)$$

Subtract 2 from 13 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}z}(2z+11)$$

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}.

$$2z^{1-1}$$

Subtract 1 from 1.

$$2z^{0}$$

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

$$2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2$$