help in H2 maths

• lavastar

  9 Aug 07, 21:50

  find dy/dx if
  
  a) f'(x) = sq root (X^2 - 1) and y=f(x^2)
  
  b) f'(x) = cos(x^2) and y = f(2x divided by x+1)
  
  [Note: f'(x) means differentiating f(x) 1 time]
  
  Is it that this problem can only be solved by integration? cause i have not learned integration in h2 maths yet..
  
  Any help please?
• eagle

  9 Aug 07, 21:52

  Originally posted by lavastar:

  find dy/dx if
  
  a) f'(x) = sq root (X^2 - 1) and y=f(x^2)
  
  b) f'(x) = cos(x^2) and y = f(2x divided by x+1)
  
  [Note: f'(x) means differentiating f(x) 1 time]
  
  Is it that this problem can only be solved by integration? cause i have not learned integration in h2 maths yet..
  
  Any help please?

  a)
  
  so dy/dx = f'(x^2) * 2x using chain rule
  
  b)
  similar to a). You should be able to do now
• lavastar

  9 Aug 07, 21:56

  Originally posted by eagle:

  a)
  
  so dy/dx = f'(x^2) * 2x using chain rule
  
  b)
  similar to a). You should be able to do now

  wow thats fast.. thank u..