Solve 17g+12-8g-8

$$17 g + 12 - 8 g - 8$$

Evaluate

$$9g+4$$

Solution Steps

Combine 17g and -8g to get 9g.

$$9g+12-8$$

Subtract 8 from 12 to get 4.

$$9g+4$$

Differentiate w.r.t. g

$$9$$

Steps Using Derivative Rule for Sum

Combine 17g and -8g to get 9g.

$$\frac{\mathrm{d}}{\mathrm{d}g}(9g+12-8)$$

Subtract 8 from 12 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}g}(9g+4)$$

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}.

$$9g^{1-1}$$

Subtract 1 from 1.

$$9g^{0}$$

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

$$9\times 1$$

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

$$9$$