Solve x+1x-1x

$$x + 1 x - 1 x$$

Evaluate

$$x$$

Solution Steps

Combine x and 1x to get 2x.

$$2x-x$$

Combine 2x and -x to get x.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Combine x and 1x to get 2x.

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

Combine 2x and -x to get x.

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

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.

$$1$$