2x^2-5x+11-এর সমাধান করুন

$$2 { x }^{ 2 } -5x+11$$

Differentiate w.r.t. x

$$4x-5$$

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}.

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

Multiply 2 times 2.

$$4x^{2-1}-5x^{1-1}$$

Subtract 1 from 2.

$$4x^{1}-5x^{1-1}$$

Subtract 1 from 1.

$$4x^{1}-5x^{0}$$

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

$$4x-5x^{0}$$

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

$$4x-5$$

Evaluate

$$2x^{2}-5x+11$$