Solve x^2-2xx

$${ x }^{ 2 } -2xx$$

Evaluate

$$-x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$x^{2}-2x^{2}$$

Combine x^{2} and -2x^{2} to get -x^{2}.

$$-x^{2}$$

Differentiate w.r.t. x

$$-2x$$

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}.

$$2x^{2-1}+\left(-2x\right)x^{1-1}$$

Subtract 1 from 2.

$$2x^{1}+\left(-2x\right)x^{1-1}$$

Subtract 1 from 1.

$$2x^{1}+\left(-2x\right)x^{0}$$

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

$$2x+\left(-2x\right)x^{0}$$

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

$$2x+\left(-2x\right)\times 1$$

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

$$2x-2x$$