=x^3+x^2-x-2-এর সমাধান করুন

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

Differentiate w.r.t. x

$$\left(3x-1\right)\left(x+1\right)$$

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}.

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

Subtract 1 from 3.

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

Subtract 1 from 2.

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

Subtract 1 from 1.

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

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

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

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

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

Evaluate

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