Solve x/x*x/9

$$\frac { x } { x } \times \frac { x } { 9 }$$

Evaluate

$$\frac{x}{9}$$

Solution Steps

Divide x by x to get 1.

$$1\times \frac{x}{9}$$

Express 1\times \frac{x}{9} as a single fraction.

$$\frac{x}{9}$$

Differentiate w.r.t. x

$$\frac{1}{9} = 0.1111111111111111$$

Steps Using Definition of a Derivative

Divide x by x to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1\times \frac{x}{9})$$

Express 1\times \frac{x}{9} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{9})$$

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

$$\frac{1}{9}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{9}x^{0}$$

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

$$\frac{1}{9}\times 1$$

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

$$\frac{1}{9}$$