ax^2+3x-3-এর সমাধান করুন

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

Differentiate w.r.t. x

$$2ax+3$$

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}.

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

Subtract 1 from 2.

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

Subtract 1 from 1.

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

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

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

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

$$2ax+3\times 1$$

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

$$2ax+3$$

Evaluate

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