Solve -14/27div56/-m

$$- \frac { 14 } { 27 } \div \frac { 56 } { - m }$$

Evaluate

$$\frac{m}{108}$$

Solution Steps

Divide -\frac{14}{27} by \frac{56}{-m} by multiplying -\frac{14}{27} by the reciprocal of \frac{56}{-m}.

$$\frac{-14\left(-m\right)}{27\times 56}$$

Cancel out 14 in both numerator and denominator.

$$\frac{-\left(-m\right)}{4\times 27}$$

Multiply -1 and -1 to get 1.

$$\frac{m}{4\times 27}$$

Multiply 4 and 27 to get 108.

$$\frac{m}{108}$$

Differentiate w.r.t. m

$$\frac{1}{108} = 0.009259259259259259$$

Steps Using Definition of a Derivative

Divide -\frac{14}{27} by \frac{56}{-m} by multiplying -\frac{14}{27} by the reciprocal of \frac{56}{-m}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{-14\left(-m\right)}{27\times 56})$$

Cancel out 14 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{-\left(-m\right)}{4\times 27})$$

Multiply -1 and -1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{m}{4\times 27})$$

Multiply 4 and 27 to get 108.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{m}{108})$$

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

$$\frac{1}{108}m^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{108}m^{0}$$

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

$$\frac{1}{108}\times 1$$

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

$$\frac{1}{108}$$