Solve 2z/7*14

$$\frac { 2 z } { 7 } \times 14$$

Evaluate

$$4z$$

Solution Steps

Cancel out 7, the greatest common factor in 14 and 7.

$$2\times 2z$$

Multiply 2 and 2 to get 4.

$$4z$$

Differentiate w.r.t. z

$$4$$

Steps Using Definition of a Derivative

Cancel out 7, the greatest common factor in 14 and 7.

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

Multiply 2 and 2 to get 4.

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

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

$$4z^{1-1}$$

Subtract 1 from 1.

$$4z^{0}$$

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

$$4\times 1$$

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

$$4$$