Question

Consider the function f(x)=3x^2/x-2. (a)Set up the f1(x)=lim f(w)-f(x)/w-x. (b) set up the f1(x)=lim f(x+h)-f(x)/h

Answer 1

Thanks

Answer 2

For what?

Answer 3

(a)
\[ \large f'(x)=\lim_{w\to x}\frac{f(w)-f(x)}{w-x}=
\lim_{w\to x}\frac{\frac{3w^2}{w-2}-\frac{3x^2}{x-2}}{w-x} \]
can u go on from this?

Answer 4

Oh yeah I got that too, I have a much harder time with the other form.

Answer 5

(b)
\[ \large f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}=
\lim_{h\to0}\frac{\frac{3(x+h)^2}{(x+h)-2}-\frac{3x^2}{x-2}}{h} \]

Answer 6

can u finish computing both limits?
it is quite easy.

Answer 7

Yeah I think I can thanks for your help, you are a lifesaver :)

Answer 8

u r welcome.