Thursday

April 17, 2014

April 17, 2014

Posted by **Anonymous** on Tuesday, January 29, 2013 at 7:32am.

using first principle method.

- maths -
**Reiny**, Tuesday, January 29, 2013 at 8:19amyou meant:

f(x) = y = (2x+3)/(3x-2)

so f(x+h) = (2x + 2h + 3)/(3x + 3h - 2)

dy/dx = lim [ (2x+2h+3)/(3x+3h-2) - (2x+3)/(3x-2) ]/h , as h --->0

= lim [ ((2x + 2h + 3)(3x-2) - (2x+3)(3x+3h+2))/((3x+3h-2)(3x+h))]/h

= lim [ (5h/((3x+3h-2)(3x-2))]/h , as h -->0

= lim 5/((3x+3h-2)(3x-2)) , as h -->0

= 5/(3x-2)^2

**Related Questions**

calc - derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and...

Derivative Calculus - I just need my answers checked. 1) Find the derivative. f(...

derivative - 41) Find the derivative. h(x)= (3x^2 + 1)^3 / (x^2 - 1)^4 This is ...

?? Maths?? - Find the values of b and c for which x^2+bx+c is a factor of 2x^3-...

calculus - Given that f(x)=2/3x^3 + 3/2x^2 -2x + 5. Find if exist, the maximum ...

Calculus 12th grade (double check my work please) - 1.)Find dy/dx when y= Ln (...

Rational Expression - (x+1/2x-1 - x-1/2x+1) * (2x-1/x - 2x-1/x^2) (x+1/2x-1 - x-...

Calculus (Help) - Also I would like to know how to set this problem up in ...

Maths Calculus Derivatives - Find the first derivative for the following ...

Maths - 1. Sketch the curves y=e^x and y=e^-2x, using the same axes. The line y=...