Sunday

March 29, 2015

March 29, 2015

Posted by **Tina** on Wednesday, October 5, 2011 at 1:15pm.

- calculus -
**Steve**, Wednesday, October 5, 2011 at 2:34pmJust plug and chug:

f = ax^b/lnx

1 = a*19^b / ln 19

a * 19^b = 2.944

f' = (abx^(b-1) * lnx) - ax^(b-1))/ln^2(x)

= [ax^(b-1) * (b*ln x-1)]/ln^2(x)

to get f'=0, we need b*lnx = 1

b*ln19 = 1

b = 1/ln19

a* 19^b = 2.944

a*19^(1/ln19) = a * 19^.3396 = a*2.718 = 2.944

a = 1.083

So, if my math is right, f(x) = 1.083*x^.3396/lnx

**Answer this Question**

**Related Questions**

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 - Find constants a and b in the function f(x)=axe^(bx)such that f(1/7)=...

Calculus - Find constants a and b in the function f(x)=axe^(bX) such that f(1/8...

Calculus (pleas help!) - Find constants a and b in the function f(x)=axe^bx such...

Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...

calculus - A cubic polynomial function f is defined by f(x)= 4x^3+ab^2+bx+k ...

Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...

Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...

College Algebra - Let g(x) = x3 - 12x + 16. Find the location of the local ...