Solve operatorname{de}2x^2+5x+2

$$\operatorname { de } 2 x ^ { 2 } + 5 x + 2$$

Differentiate w.r.t. x

$$4edx+5$$

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}.

$$5x^{1-1}+2\times 2edx^{2-1}$$

Subtract 1 from 1.

$$5x^{0}+2\times 2edx^{2-1}$$

Multiply 2 times 2de.

$$5x^{0}+4edx^{2-1}$$

Subtract 1 from 2.

$$5x^{0}+4edx^{1}$$

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

$$5x^{0}+4edx$$

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

$$5\times 1+4edx$$

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

$$5+4edx$$

Evaluate

$$2edx^{2}+5x+2$$