Solve 2n^4-2n^2+1

$$2 n ^ { 4 } - 2 n ^ { 2 } + 1$$

Differentiate w.r.t. n

$$8n^{3}-4n$$

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}.

$$4\times 2n^{4-1}+2\left(-2\right)n^{2-1}$$

Multiply 4 times 2.

$$8n^{4-1}+2\left(-2\right)n^{2-1}$$

Subtract 1 from 4.

$$8n^{3}+2\left(-2\right)n^{2-1}$$

Multiply 2 times -2.

$$8n^{3}-4n^{2-1}$$

Subtract 1 from 2.

$$8n^{3}-4n^{1}$$

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

$$8n^{3}-4n$$

Evaluate

$$2n^{4}-2n^{2}+1$$