Solve GRAPHx^2+3x-2

$$G R A P H x ^ { 2 } + 3 x - 2$$

Differentiate w.r.t. x

$$2AGHPRx+3$$

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}.

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

Subtract 1 from 1.

$$3x^{0}+2AGHPRx^{2-1}$$

Subtract 1 from 2.

$$3x^{0}+2AGHPRx^{1}$$

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

$$3x^{0}+2AGHPRx$$

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

$$3\times 1+2AGHPRx$$

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

$$3+2AGHPRx$$

Evaluate

$$AGHPRx^{2}+3x-2$$