Solve 0.35/650E^-12

$$0.35 / 650 E ^ { - 12 }$$

Evaluate

$$\frac{7}{13000E^{12}}$$

Solution Steps

Expand \frac{0.35}{650} by multiplying both numerator and the denominator by 100.

$$\frac{35}{65000}E^{-12}$$

Reduce the fraction \frac{35}{65000} to lowest terms by extracting and canceling out 5.

$$\frac{7}{13000}E^{-12}$$

Differentiate w.r.t. E

$$-\frac{21}{3250E^{13}}$$

Steps Using Definition of a Derivative

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

$$-12\times \frac{7}{13000}E^{-12-1}$$

Multiply -12 times \frac{7}{13000}.

$$-\frac{21}{3250}E^{-12-1}$$

Subtract 1 from -12.

$$-\frac{21}{3250}E^{-13}$$