Solve (a^2)^2-3(0)-12=

$$( a ^ { 2 } ) ^ { 2 } - 3 ( 0 ) - 12 =$$

Evaluate

$$a^{4}-12$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$a^{4}-3\times 0-12$$

Multiply 3 and 0 to get 0.

$$a^{4}-0-12$$

Multiply -1 and 0 to get 0.

$$a^{4}+0-12$$

Anything plus zero gives itself.

$$a^{4}-12$$

Differentiate w.r.t. a

$$4a^{3}$$

Steps Using Derivative Rule for Sum

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{4}-3\times 0-12)$$

Multiply 3 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{4}-0-12)$$

Multiply -1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{4}+0-12)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{4}-12)$$

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}.

$$4a^{4-1}$$

Subtract 1 from 4.

$$4a^{3}$$