Solve 9^2-9a-8

$$9 ^ { 2 } - 9 a - 8$$

Evaluate

$$73-9a$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$81-9a-8$$

Subtract 8 from 81 to get 73.

$$73-9a$$

Differentiate w.r.t. a

$$-9$$

Steps Using Derivative Rule for Sum

Calculate 9 to the power of 2 and get 81.

$$\frac{\mathrm{d}}{\mathrm{d}a}(81-9a-8)$$

Subtract 8 from 81 to get 73.

$$\frac{\mathrm{d}}{\mathrm{d}a}(73-9a)$$

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}.

$$-9a^{1-1}$$

Subtract 1 from 1.

$$-9a^{0}$$

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

$$-9$$