Solve 2z^2+19z^230

$$2 z ^ { 2 } + 19 z ^ { 2 } 30$$

Evaluate

$$572z^{2}$$

Solution Steps

Multiply 19 and 30 to get 570.

$$2z^{2}+570z^{2}$$

Combine 2z^{2} and 570z^{2} to get 572z^{2}.

$$572z^{2}$$

Differentiate w.r.t. z

$$1144z$$

Steps Using Definition of a Derivative

Multiply 19 and 30 to get 570.

$$\frac{\mathrm{d}}{\mathrm{d}z}(2z^{2}+570z^{2})$$

Combine 2z^{2} and 570z^{2} to get 572z^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}z}(572z^{2})$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 572z^{2-1}$$

Multiply 2 times 572.

$$1144z^{2-1}$$

Subtract 1 from 2.

$$1144z^{1}$$

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

$$1144z$$