Posted by **Dylan** on Wednesday, March 6, 2013 at 4:09pm.

Find constants a and b in the function f(x)=axe^(bX) such that f(1/8)=1 and the function has a local maximum at x=1/8.

- Calculus -
**Steve**, Wednesday, March 6, 2013 at 5:00pm
f = ax e^(bx)

f' = ae^(bx) + abx e^(bx)

= ae^(bx) (1+bx)

f'(1/8) = 0, so b = -8

f(1/8) = 1 = a(1/8)e^(-1), so a=8e

f(x) = (8e)x e^(-8x)

- Calculus -
**Anonymous**, Thursday, November 6, 2014 at 10:50am
Calculus - Steve, Wednesday, March 6, 2013 at 5:00pm

f = ax e^(bx)

f' = ae^(bx) + abx e^(bx)

= ae^(bx) (1+bx)

f'(1/8) = 0, so b = -8

f(1/8) = 1 = a(1/8)e^(-1), so a=8e

f(x) = (8e)x e^(-8x)

## Answer this Question

## Related Questions

- Calculus - Find constants a and b in the function f(x)=axe^(bx)such that f(1/7)=...
- Calculus (pleas help!) - Find constants a and b in the function f(x)=axe^bx such...
- Calculus - Find constants a and b in the function f(x)=axbln(x) such that f(15...
- Calculus - Find constants a and b in the function f(x)=(ax^b)ln(x) such that f(...
- calculus - Find constants a and b in the function f(x)=ax^b/(ln(x)) such that f(...
- Calculus 1 - Find constants a and b in the equation f(x)= ax^b/(ln(x)) such ...
- Calculus - Find constants a and b in the equation f(x)= ax^b/(ln(x)) such that f...
- Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...
- Calculus - Find constants a,b, and c such that the function f(x)=ax^3+bx^2+c ...
- calculus - a function has a local maximum at x=-2 and x=6 and a local minimum at...

More Related Questions