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## Topic review (newest first)

bobbym
2013-04-27 15:49:57

Hi Agnishom;

Let's do a simpler one so you can see the method.

Differentiate x^6 wrt x^2:

Say y = x^6, t =x^2

Now

Plugging in:

and that is the answer. There is an even simpler way involving a substitution.

Omar Desoky
2013-04-27 15:46:13

All is ok for me no problem about the final results but I only meed to make sure. of (2)
Thanls!

Agnishom
2013-04-27 14:36:46

I can do 1, 4 and 5.

Agnishom
2013-04-27 13:50:46

Interesting, I will try

bobbym
2013-04-27 13:20:49

Hi;

http://www.mathisfunforum.com/viewtopic.php?id=14654

Please show a little bit of your work, or at least that you tried.

Omar Desoky
2013-04-27 13:18:45

Dears,

Answer each of the following:
(1) If y=x+1/x prove that x²(d²y/dx²)+x(dy/dx)=y
(2) Find the second derivative of (2x+3)/(3x-1) with respect ro (x-1)/(x+1)
(3) If y²=8/(1+x²) prove that (x²+1)(d²y/dx²)+3x(dy/dx)+y=0
(4) If y√x)+1/√x and z√x)-1/√x prove that d²y/dx²=(2x(y+2))/(x+1)³
(5) If y=cosx-3sinx prove that y'''+y''+y'+y=0