Thursday

July 31, 2014

July 31, 2014

Posted by **Rebecca** on Thursday, December 2, 2010 at 8:25pm.

y = sq. root [(x^2 - 1)/(x^2 + 1)]

- Calc -
**MathMate**, Thursday, December 2, 2010 at 10:06pmy = sq. root [(x^2 - 1)/(x^2 + 1)]

take log (to base e, =ln) on both sides

log(y) = (1/2)(log(x²-1)-log(x²+1)

differentiate with respect to x

dy/dx / y = x/(x²-1)-x/(x²+1)

= 2x/((x²-1)(x²+1))

dy/dx = x/(x²-1)-x/(x²+1)

= 2x/((x²-1)(x²+1)) * √(x²-1)/√(x²+1)

Simplify.

**Related Questions**

calc - logarithmic differentiation of find derivative of y= square root of x^x

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

logarithmic differentiation - How do you find the logarithmic differentiation ...

logarithmic differentiation - How do you find the logarithmic differentiation of...

logarithmic differentiation - y= 4th root (x^2+1)/(x^2-1)

Calc - Compute the derivative of f(x)=5^x^2+1 using logarithmic differentiation.

calculus - Use logarithmic differentiation to find dy/dx for y=(1+x)^(1/x).

logarithmic differentiation - How do you find the logarithmic differentiation of...

math - Use logarithmic differentiation to find the derivative of the function. y...

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