Solve x+x+x-x

$$x + x + x - x$$

Evaluate

$$2x$$

Solution Steps

Combine x and x to get 2x.

$$2x+x-x$$

Combine 2x and x to get 3x.

$$3x-x$$

Combine 3x and -x to get 2x.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Combine x and x to get 2x.

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

Combine 2x and x to get 3x.

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

Combine 3x and -x to get 2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x)$$

The derivative of ax^{n} is nax^{n-1}.

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

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$