Solve x^2/x^2-2

$$\frac{ { x }^{ 2 } }{ { x }^{ 2-2 } }$$

Evaluate

$$x^{2}$$

Solution Steps

Subtract 2 from 2 to get 0.

$$\frac{x^{2}}{x^{0}}$$

Calculate x to the power of 0 and get 1.

$$\frac{x^{2}}{1}$$

Anything divided by one gives itself.

$$x^{2}$$

Differentiate w.r.t. x

$$2x$$

Steps Using Definition of a Derivative

Subtract 2 from 2 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}}{x^{0}})$$

Calculate x to the power of 0 and get 1.

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

Anything divided by one gives itself.

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

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.

$$2x$$