SOLUTION: f(x) = (-100e^-0.25x) - 50x (b) Determine the location of all critical points and determine their nature for the function

Question 1193035: f(x) = (-100e^-0.25x) - 50x
(b) Determine the location of all critical points and determine their nature for the function
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
graph it.

f'(x)=0.25*e^(-0.25x)-50
set equal to 0.
50=25e^(-0.25x)
2=e^(-0.25x)
ln 2=-0.25x
0.693=-0.25x
x=-2.77
f(x)=-61.37
second derivative is -6.25e^(-0.25x)
where x=-2.77 the second derivative is negative. This is a maximum.

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