Solve 13+9y-4-y

$$13 + 9 y - 4 - y$$

Evaluate

$$8y+9$$

Solution Steps

Subtract 4 from 13 to get 9.

$$9+9y-y$$

Combine 9y and -y to get 8y.

$$9+8y$$

Differentiate w.r.t. y

$$8$$

Steps Using Derivative Rule for Sum

Subtract 4 from 13 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}y}(9+9y-y)$$

Combine 9y and -y to get 8y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(9+8y)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$8y^{1-1}$$

Subtract 1 from 1.

$$8y^{0}$$

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

$$8\times 1$$

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

$$8$$