Solve 1/2*8y

$$1 / 2 \times 8 y$$

Evaluate

$$4y$$

Solution Steps

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

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

Divide 8 by 2 to get 4.

$$4y$$

Differentiate w.r.t. y

$$4$$

Steps Using Definition of a Derivative

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{8}{2}y)$$

Divide 8 by 2 to get 4.

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

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.

$$4$$