Monday

April 21, 2014

April 21, 2014

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

y = [(x-3)(x+1) / (2x+5)] 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)(x+1) / (2x+5)]

so

ln y = (1/5)ln([(x-3)(x+1) / (2x+5)] =

(1/5){ln([(x-3)(x+1)) - ln(2x+5)}=

(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.

**Related Questions**

math - If cos(3 x)614 x e^2 y=0, find [ dy/dx] using implicit differentiation...

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 - How do you us implicit differentiation to solve x( y + 2 )^5 = 8 x( y...

Calculus - Hi, I'm having trouble using implicit differentiation to determine dy...

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'm...

Calculus - Follow the steps below for the given function. (Do not use mixed ...

Calculus (repost) - Use implicit differentiation to find dy/dx if cos xy = 2x^2...