Solve a^4+2a^2+24

$$a ^ { 4 } + 2 a ^ { 2 } + 24$$

Differentiate w.r.t. a

$$4a\left(a^{2}+1\right)$$

Steps Using Derivative Rule for Sum

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}.

$$4a^{4-1}+2\times 2a^{2-1}$$

Subtract 1 from 4.

$$4a^{3}+2\times 2a^{2-1}$$

Multiply 2 times 2.

$$4a^{3}+4a^{2-1}$$

Subtract 1 from 2.

$$4a^{3}+4a^{1}$$

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

$$4a^{3}+4a$$

Evaluate

$$a^{4}+2a^{2}+24$$