Solve 4/7div-1/28n

$$\frac { 4 } { 7 } \div - \frac { 1 } { 28 } n$$

Evaluate

$$-16n$$

Solution Steps

Divide \frac{4}{7} by -\frac{1}{28} by multiplying \frac{4}{7} by the reciprocal of -\frac{1}{28}.

$$\frac{4}{7}\left(-28\right)n$$

Express \frac{4}{7}\left(-28\right) as a single fraction.

$$\frac{4\left(-28\right)}{7}n$$

Multiply 4 and -28 to get -112.

$$\frac{-112}{7}n$$

Divide -112 by 7 to get -16.

$$-16n$$

Differentiate w.r.t. n

$$-16$$

Steps Using Definition of a Derivative

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

$$-16n^{1-1}$$

Subtract 1 from 1.

$$-16n^{0}$$

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

$$-16$$