The fuel consumption of a car

MATHEMATICS · Numerical · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The fuel consumption of a car, in miles per gallon, is modelled by

F(s)=6e^{\left(\frac{s}{20}-\frac{s^2}{2400}\right)}

, where

s

is the speed of the car in miles per hour. If the car is travelling at

50

miles per hour and its speed is changing at

20

miles per hour squared, what is the rate at which its fuel consumption is changing?