Solve x/6+x/2+x/3=

$$\frac { x } { 6 } + \frac { x } { 2 } + \frac { x } { 3 } =$$

Evaluate

$$x$$

Solution Steps

Combine \frac{x}{6} and \frac{x}{2} to get \frac{2}{3}x.

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

Combine \frac{2}{3}x and \frac{x}{3} to get x.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Combine \frac{x}{6} and \frac{x}{2} to get \frac{2}{3}x.

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

Combine \frac{2}{3}x and \frac{x}{3} 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.

$$1$$