Thursday

August 21, 2014

August 21, 2014

Posted by **CyrusDelaney** on Tuesday, December 6, 2011 at 11:02pm.

- calculus -
**Reiny**, Tuesday, December 6, 2011 at 11:56pmln y = ln (1+x)^(1/x)

= (1/x) ln (1+x)

(dy/dx) /y = (-1/x^2)(ln(1+x) + (1/x)(1/(1+x)

dy/dx = y [(-1/x^2) ( ln(1+x) + x/(1+x) ]

or (-1/x^2)( ln(1+x) + x/(1+x) ) (1+x)^(1/x)

pretty messy looking ...

**Related Questions**

Calculus - I need to find the derivative of the following problem via ...

Calculus Help - Use logarithmic differentiation to find the derivative of the ...

calculus - y = (ln x)^(cos4x) Use logarithmic differentiation to find the ...

Calculus - Use logarithmic differentiation to find the derivative of f(x) = x^x+...

Calculus Help - Use logarithmic differentiation to find the derivative of the ...

calculus - Use logarithmic differentiation: F(x)= (3x+6)^4 (x^3 -2)^5 f'(x)=

Calculus - Use logarithmic differentiation: F(x)= (3x+6)^4 (x^3 -2)^5

Calculus - Use logarithmic differentiation to find the following derivative y=(x...

calculus - Use logarithmic differentiation to find the following derivative: y=(...

calculus - use logarithmic differentiation to differentiate the function f(x)=2^...