Solve 9-5+2g-3g

$$9 - 5 + 2 g - 3 g$$

Evaluate

$$4-g$$

Solution Steps

Subtract 5 from 9 to get 4.

$$4+2g-3g$$

Combine 2g and -3g to get -g.

$$4-g$$

Differentiate w.r.t. g

$$-1$$

Steps Using Derivative Rule for Sum

Subtract 5 from 9 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}g}(4+2g-3g)$$

Combine 2g and -3g to get -g.

$$\frac{\mathrm{d}}{\mathrm{d}g}(4-g)$$

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}.

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

Subtract 1 from 1.

$$-g^{0}$$

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

$$-1$$