Solve 1q/g*g/12

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

Evaluate

$$\frac{q}{12}$$

Solution Steps

Multiply \frac{1q}{g} times \frac{g}{12} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out g in both numerator and denominator.

$$\frac{q}{12}$$

Differentiate w.r.t. q

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

Steps Using Definition of a Derivative

Multiply \frac{1q}{g} times \frac{g}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}q}(\frac{1qg}{g\times 12})$$

Cancel out g in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}q}(\frac{q}{12})$$

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

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

Subtract 1 from 1.

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

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.

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