Solve 1/2x/6

$$\frac { \frac { 1 } { 2 } x } { 6 }$$

Differentiate w.r.t. x

$$\frac{1}{12} = 0.08333333333333333$$

Steps Using Definition of a Derivative

Divide \frac{1}{2}x by 6 to get \frac{1}{12}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{12}x)$$

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

$$\frac{1}{12}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{12}x^{0}$$

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

$$\frac{1}{12}\times 1$$

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

$$\frac{1}{12}$$

Evaluate

$$\frac{x}{12}$$

Solution Steps

Divide \frac{1}{2}x by 6 to get \frac{1}{12}x.

$$\frac{1}{12}x$$