Differentiation questions (1 Viewer)

[king.rafa]

sorry comp froze and i smashed down on enter and yeh. the question is

suppose y = u / x, where u is a function of x. show that y + x (dy/dx) = du/dx

 

[drowning_pocoyo]

d

?

 

[lyounamu]

d

different d in respect to d? fail question

 

[Timothy.Siu]

lol

 

[drowning_pocoyo]

and u want us to do what??

 

[king.rafa]

sorry comp froze and i smashed down on enter and yeh. the question is

suppose y = u / x, where u is a function of x. show that y + x (dy/dx) = du/dx

 

[lyounamu]

sorry comp froze and i smashed down on enter and yeh. the question is

suppose y = u / x, where u is a function of x. show that y + x (dy/dx) = du/dx

y = u/x
dy/dx = (x . u' - u )/x^2

du/dx = u'

LHS = y + x (dy/dx)
= u/x + (xu'-u)/x
= u' = du/dx = RHS

 

[king.rafa]

sorry need one more.

suppose y = x/u, where u is a function of x. show that y du/dx + u dy/dx = 1

wait no got it thanks

 

[Drongoski]

Edit:

Ha. made a fool of myself. Didn't even check it was already done; saw only 1st few responses. haha.

 

[Uncle]

Edit:

Ha. made a fool of myself. Didn't even check it was already done; saw only 1st few responses. haha.

You used LaTeX though.
No one else did.