Solve 9z+30z-4

$$9 z + 30 z - 4$$

Differentiate w.r.t. z

$$39$$

Steps Using Derivative Rule for Sum

Combine 9z and 30z to get 39z.

$$\frac{\mathrm{d}}{\mathrm{d}z}(39z-4)$$

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}.

$$39z^{1-1}$$

Subtract 1 from 1.

$$39z^{0}$$

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

$$39\times 1$$

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

$$39$$

Evaluate

$$39z-4$$

Solution Steps

Combine 9z and 30z to get 39z.

$$39z-4$$