Sunday

March 1, 2015

March 1, 2015

Posted by **Phillip** on Thursday, October 18, 2012 at 12:28pm.

ln(f(x))=lnx^1/2x or lnx to the 1/2x

1/2x lnx

product rule

(1/4x^2)(lnx)+(1/x)(1/2x)

is the product rule correct?

What do i do after this product rule?

- College Calc -
**Steve**, Thursday, October 18, 2012 at 3:08pmy = √(x^(1/x)) = x^(1/2x)

ln y = 1/(2x) ln x

1/y y' = -1/(2x^2) lnx + 1/(2x)(1/x)

1/y y' = (1-lnx)/(2x^2)

y' = (1-lnx)y/(2x^2)

= (1-lnx) √(x^(1/x))/(2x^2)

**Answer this Question**

**Related Questions**

L'Hopital's rule - Find lim x->1+ of [(1/(x-1))-(1/lnx)]. Here is my work...

Calculus - Find the derivative of y with respect to x. y= [(x^5)/5]lnx-[(x^5)/25...

Calculus 1 - Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36...

calculus - sorry to ask a second question so soon, but i'm just not getting this...

CALC - find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2 -3...

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 - Find the derivatives, dy/dx for the following functions. a. x^2y^4 = ...

calculus - find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2...

math - how would you solve for y in this problem: ln(y-1)-ln2 = x +lnx ln(y-1)-...