Solve z-(-2z)

$$z - ( - 2 z )$$

Evaluate

$$3z$$

Solution Steps

The opposite of -2z is 2z.

$$z+2z$$

Combine z and 2z to get 3z.

$$3z$$

Differentiate w.r.t. z

$$3$$

Steps Using Definition of a Derivative

The opposite of -2z is 2z.

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

Combine z and 2z to get 3z.

$$\frac{\mathrm{d}}{\mathrm{d}z}(3z)$$

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

$$3z^{1-1}$$

Subtract 1 from 1.

$$3z^{0}$$

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

$$3\times 1$$

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

$$3$$