Solve x/frac{14{2}}

$$\frac{ x }{ \frac{ 14 }{ 2 } }$$

Evaluate

$$\frac{x}{7}$$

Solution Steps

Divide x by \frac{14}{2} by multiplying x by the reciprocal of \frac{14}{2}.

$$\frac{x\times 2}{14}$$

Divide x\times 2 by 14 to get x\times \frac{1}{7}.

$$x\times \frac{1}{7}$$

Differentiate w.r.t. x

$$\frac{1}{7} = 0.14285714285714285$$

Steps Using Definition of a Derivative

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

$$\frac{1}{7}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{7}x^{0}$$

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

$$\frac{1}{7}\times 1$$

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

$$\frac{1}{7}$$