Solve 2x+3x^2+1

$$2x+3 { x }^{ 2 } +1$$

Differentiate w.r.t. x

$$6x+2$$

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}.

$$2x^{1-1}+2\times 3x^{2-1}$$

Subtract 1 from 1.

$$2x^{0}+2\times 3x^{2-1}$$

Multiply 2 times 3.

$$2x^{0}+6x^{2-1}$$

Subtract 1 from 2.

$$2x^{0}+6x^{1}$$

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

$$2x^{0}+6x$$

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

$$2\times 1+6x$$

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

$$2+6x$$

Evaluate

$$3x^{2}+2x+1$$