Solve (8+y)+(y-8)

$$( 8 + y ) + ( y - 8 )$$

Evaluate

$$2y$$

Solution Steps

Combine y and y to get 2y.

$$8+2y-8$$

Subtract 8 from 8 to get 0.

$$2y$$

Differentiate w.r.t. y

$$2$$

Steps Using Definition of a Derivative

Combine y and y to get 2y.

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

Subtract 8 from 8 to get 0.

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

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

$$2y^{1-1}$$

Subtract 1 from 1.

$$2y^{0}$$

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

$$2\times 1$$

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

$$2$$