Solve x^2-x+1(x+1)

$$x ^ { 2 } - x + 1 ( x + 1 )$$

Evaluate

$$x^{2}+1$$

Solution Steps

Use the distributive property to multiply 1 by x+1.

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

Combine -x and x to get 0.

$$x^{2}+1$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Use the distributive property to multiply 1 by x+1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-x+x+1)$$

Combine -x and x to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+1)$$

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}.

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

Subtract 1 from 2.

$$2x^{1}$$

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

$$2x$$