Thread: Simplify derivative

Can someone please show me how this derivative: f'(x) = x^3(18x) - (9)(x^2 - 3)(3x^2)/(x^3)^2

Simplifies to this: 9(9 - x^2)/ x^4

Because I am lost lol

Here is the original equation: f(x)= 9(x^2-3)/x^3

Thanks

Originally Posted by Jwd41190

Can someone please show me how this derivative: f'(x) = x^3(18x) - (9)(x^2 - 3)(3x^2)/(x^3)^2

Simplifies to this: 9(9 - x^2)/ x^4

Because I am lost lol

Here is the original equation: f(x)= 9(x^2-3)/x^3

Thanks

It's really easier if you expand

Thats still not right is it here it is from the book

Here it is from the book:
http://img121.imageshack.us/img121/3689/scn0001.jpg

Originally Posted by Danny

It's really easier if you expand

What I'm saying is I think that this way is the easiest. However, if you use th equotient rule then