Question

Confusing. Calculus.

Answer 1

The function f(x) = (8x-9)e^{5x} has one critical number. Find it.

Answer 2

What did you get for the derivative?

Answer 3

e^5x(40x-37)

Answer 4

Good. Now that implies that \(e^{5x}=0\) or \(40x-37=0\). However, \(e^{5x}>0\) for all real numbers \(x\); hence \(e^{5x}=0\) has no solution. Thus the only part that gives you a solution is \(40x-37=0\). What do you get for x in this case? :-)

Answer 5

37/40

Answer 6

Thank you a lot