Solve xyxy^-1

$$x y x y ^ { - 1 }$$

Evaluate

$$x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

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

Multiply y and y^{-1} to get 1.

$$x^{2}$$

Differentiate w.r.t. x

$$2x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

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

Multiply y and y^{-1} to get 1.

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

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.

$$2x$$