Solve 2(0)+z=

$$2 ( 0 ) + z =$$

Evaluate

$$z$$

Solution Steps

Multiply 2 and 0 to get 0.

$$0+z$$

Anything plus zero gives itself.

$$z$$

Differentiate w.r.t. z

$$1$$

Steps Using Definition of a Derivative

Multiply 2 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}z}(0+z)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z)$$

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

$$z^{1-1}$$

Subtract 1 from 1.

$$z^{0}$$

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

$$1$$