Posted by **yoo** on Friday, February 18, 2011 at 11:06pm.

f(x)=3x^ln(x),

find f '(9).

i can't find the answer :(

I got 3x^lnx(((ln(lnx))/x)+ 1/lnx)

- calc -
**Henry**, Sunday, February 20, 2011 at 10:14pm
F(x) = 3X^ln(x).

F'(x) = (3lnx)(X^(lnx-1),

F'(9) = (3*ln9)(9^(ln9-1),

F'(9) = (3*2.1972)(9^(2.1972-1),

F'(9) = (6.5917)(9^1.1972),

F'(9) = (6.5917)(13.8817),

F'(9) = 91.5040.

## Answer this Question

## Related Questions

- L'Hopital's rule - Find lim x->1+ of [(1/(x-1))-(1/lnx)]. Here is my work...
- Calculus 1 - Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36...
- calc - integral of 1 to e^4 dx/x(1+lnx) 1+lnx = a => dx/x = da dx/ x(1+lnx...
- calculus - (a) find the intervals on which f is incrs or decrs. (b) find the ...
- calculus - sorry to ask a second question so soon, but i'm just not getting this...
- College Calc - Problem: y=sqrtx ^1/x. Find DY/DX. ln(f(x))=lnx^1/2x or lnx to ...
- Calculus - Find the derivatives, dy/dx for the following functions. a. x^2y^4 = ...
- Math - Find the coordinates of the turning point and determine wether it is ...
- math - how would you solve for y in this problem: ln(y-1)-ln2 = x +lnx ln(y-1)-...
- CALC - i still need help on this...integrate (-2)/(xln^4(x) dx...should i be ...