Homework Help: Calculus (Derivatives)

Posted by B <3 on Sunday, September 21, 2008 at 6:50pm.

Find the derivative of the function f by using the rules of differentiation.

F(x) = x^3 – 4x^2 + 3 / x

The sign “/” means divided by (OVER)…this problem looks like a big fraction. I am so lost though because I do not know why I keep getting 3x – 4. Can someone please show me how to do this one?!

Calculus (Derivatives) - Reiny, Sunday, September 21, 2008 at 7:30pm
You mean:
F(x) = (x^3 – 4x^2 + 3) / x ?

if so, then first divide each term by x

F(x) = x^2 - 4x + 3/x

F'(x) = 2x - 4 - 3/x^2

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