Solve x+1+x-2-x+4

$$x + 1 + x - 2 - x + 4$$

Evaluate

$$x+3$$

Solution Steps

Combine x and x to get 2x.

$$2x+1-2-x+4$$

Subtract 2 from 1 to get -1.

$$2x-1-x+4$$

Combine 2x and -x to get x.

$$x-1+4$$

Add -1 and 4 to get 3.

$$x+3$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Combine x and x to get 2x.

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

Subtract 2 from 1 to get -1.

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

Combine 2x and -x to get x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-1+4)$$

Add -1 and 4 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+3)$$

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}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$