Solve 9^2-3g+2

$$9 ^ { 2 } - 3 g + 2$$

Evaluate

$$83-3g$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$81-3g+2$$

Add 81 and 2 to get 83.

$$83-3g$$

Differentiate w.r.t. g

$$-3$$

Steps Using Derivative Rule for Sum

Calculate 9 to the power of 2 and get 81.

$$\frac{\mathrm{d}}{\mathrm{d}g}(81-3g+2)$$

Add 81 and 2 to get 83.

$$\frac{\mathrm{d}}{\mathrm{d}g}(83-3g)$$

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}.

$$-3g^{1-1}$$

Subtract 1 from 1.

$$-3g^{0}$$

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

$$-3$$