If f is a differentialbe function, find an expression for the derivative of each of the following function :

a) y= (x^2)f(x)

b) y=(x^2)/f(x)

c) y=(1+xf(x))/(x^(1/2))

- Oct 27th 2008, 09:01 AMbutbi9xIf f is a differentialbe function, find an expression for the derivative of each of
If f is a differentialbe function, find an expression for the derivative of each of the following function :

a) y= (x^2)f(x)

b) y=(x^2)/f(x)

c) y=(1+xf(x))/(x^(1/2)) - Oct 27th 2008, 02:22 PMsuperevilcube
You can use the product rule for the first, the quotient rule for the second, and a combination of the two for the third. Here is the first:

1) y = (x^2)*f(x)

y' = (2x)*f(x) + (x^2)*f '(x)

(I made the space so you could tell it was the derivative) I would do the others, but I don't have the time. I hope this helps, though.