Solve 8y/2

$$8 \frac { y } { 2 }$$

Differentiate w.r.t. y

$$4$$

Steps Using Definition of a Derivative

Cancel out 2, the greatest common factor in 8 and 2.

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

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

$$4y^{1-1}$$

Subtract 1 from 1.

$$4y^{0}$$

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

$$4\times 1$$

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

$$4$$

Evaluate

$$4y$$

Solution Steps

Cancel out 2, the greatest common factor in 8 and 2.

$$4y$$