Solve -60^4u/frac{2{4}}

$$\frac { - 60 ^ { 4 } u } { \frac { 2 } { 4 } }$$

Evaluate

$$-25920000u$$

Solution Steps

Calculate 60 to the power of 4 and get 12960000.

$$\frac{-12960000u}{\frac{2}{4}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{-12960000u}{\frac{1}{2}}$$

Divide -12960000u by \frac{1}{2} by multiplying -12960000u by the reciprocal of \frac{1}{2}.

$$-12960000u\times 2$$

Multiply -12960000 and 2 to get -25920000.

$$-25920000u$$

Differentiate w.r.t. u

$$-25920000$$

Steps Using Definition of a Derivative

Calculate 60 to the power of 4 and get 12960000.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{-12960000u}{\frac{2}{4}})$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{-12960000u}{\frac{1}{2}})$$

Divide -12960000u by \frac{1}{2} by multiplying -12960000u by the reciprocal of \frac{1}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}u}(-12960000u\times 2)$$

Multiply -12960000 and 2 to get -25920000.

$$\frac{\mathrm{d}}{\mathrm{d}u}(-25920000u)$$

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

$$-25920000u^{1-1}$$

Subtract 1 from 1.

$$-25920000u^{0}$$

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

$$-25920000$$