Business Calculus
Your muscle car’s gas mileage (in miles per gallon) is given as a function M(x) of speed x in mph, where
M(x) =
3,000/ x+ 3,600^-1
.
3,000/ x+ 3,600^-1
.
Calculate
M ‘(
x).
| M ‘(x) | = |
|
Now calculate
M ‘(40),
M ‘(60), and
M ‘(120). (Round your answers to four decimal places.)
| M ‘(40) | = | mpg/mph |
| M ‘(60) | = | mpg/mph |
| M ‘(120) | = | mpg/mph |
What do the answers tell you about your car?
mph is the most fuel-efficient speed for the car.
