Solve x*x/x+x+x

$$\frac{ x \times x }{ x+x+x }$$

Evaluate

$$\frac{x}{3}$$

Solution Steps

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

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

Combine x and x to get 2x.

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

Combine 2x and x to get 3x.

$$\frac{x^{2}}{3x}$$

Cancel out x in both numerator and denominator.

$$\frac{x}{3}$$

Differentiate w.r.t. x

$$\frac{1}{3} = 0.3333333333333333$$

Steps Using Definition of a Derivative

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

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

Combine x and x to get 2x.

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

Combine 2x and x to get 3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}}{3x})$$

Cancel out x in both numerator and denominator.

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

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

$$\frac{1}{3}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{3}x^{0}$$

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

$$\frac{1}{3}\times 1$$

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

$$\frac{1}{3}$$