In: Math
A mug of beer chilled to 36 degrees, if left in a 72-degree room, will warm to a temperature of
T(t) = 72 − 36e−3.5t
degrees in t hours.
(a) Find T(0.35) and
T'(0.35).
(Round your answers to one decimal place.)
T(0.35) | = | ° |
T'(0.35) | = | ° |
Interpret your answers.
After 21 minutes, the temperature of the beer is degrees and is increasing at the rate of degrees per hour.
(b) Find T(1) and
T'(1).
(Round your answers to one decimal place.)
T(1) | = | ° |
T'(1) | = | ° |
Interpret your answers.
Also if you don't mind please help on finding the derivative. Thank you
Find the derivative of the function.
f(x) = ex3 + 7x