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

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

Evaluate

$$x^{2}-x+4$$

Solution Steps

Add 2 and 2 to get 4.

$$1\left(x^{2}-x+4\right)$$

Use the distributive property to multiply 1 by x^{2}-x+4.

$$x^{2}-x+4$$

Differentiate w.r.t. x

$$2x-1$$

Steps Using Derivative Rule for Sum

Add 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1\left(x^{2}-x+4\right))$$

Use the distributive property to multiply 1 by x^{2}-x+4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-x+4)$$

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}.

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

Subtract 1 from 2.

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

Subtract 1 from 1.

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

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

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

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

$$2x-1$$