Solve 2x^4+17x+85

$$2 x ^ { 4 } + 17 x + 85$$

Differentiate w.r.t. x

$$8x^{3}+17$$

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}.

$$4\times 2x^{4-1}+17x^{1-1}$$

Multiply 4 times 2.

$$8x^{4-1}+17x^{1-1}$$

Subtract 1 from 4.

$$8x^{3}+17x^{1-1}$$

Subtract 1 from 1.

$$8x^{3}+17x^{0}$$

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

$$8x^{3}+17\times 1$$

For any term t, t\times 1=t and 1t=t.

$$8x^{3}+17$$

Evaluate

$$2x^{4}+17x+85$$