Homework Help: A big one!

Posted by Jen on Friday, October 20, 2006 at 9:15pm.

Using logarithmic differentiate technique, find dy/dx

y = [(x-3)ł(x˛+1) / (2x+5)ł] raised to the power of 1/5

I don't know how to type this. It is the 5th root of all those.

You have
y = [(x-3)ł(x˛+1) / (2x+5)ł]^1/5
so
ln y = (1/5)ln([(x-3)ł(x˛+1) / (2x+5)ł] =
(1/5){ln([(x-3)ł(x˛+1)) - ln(2x+5)ł}=
(1/5){3ln(x-3) + ln(x˛+1) - 3ln(2x+5)}
Now find dy/dx and exponentiate your result to get the final result.

I hope I read your superscripts right, they're a little small for me.

No one has answered this question yet.

Answer this Question

Related Questions

math - If cos(3 x)6Ó14 x e^2 y=0, find [ dy/dx] using implicit ...
Calculus - How do you do this question. f(x) = (5x-1)/(2-3x), find f^(-1)(x). ...
math - find the integral secxtanxdx and if dy/dx= 2x/y^2 and y(o) = 3 then what ...
Calculus - Hi, I'm having trouble using implicit differentiation to ...
Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...
Calculus - I am unsure of how to take the derivative of this equation. It may be...
Calculus - Use implicit differentiation to find dy/dx if cos xy = 2x^2 - 3y. I&#...
Calculus (repost) - Use implicit differentiation to find dy/dx if cos xy = 2x^2...
Calc, Implicit Differentiation - Regard y as independent variable and x as ...
college - What do I do to Find dy/dx using logarithmic differentiation. y=(x^3)...

For Further Reading

First Name:
School Subject:
Answer: