Question

The limit represents the derivative of a function f at a number c. Determine f and c.

Answer 1

lim[(3+h)^2-9]/h as h-->0

Answer 2

any guesses for this one?

Answer 3

See is 9 right?

Answer 4

C

Answer 5

actually no, \(c=3\)

Answer 6

\(f(x)=x^2\)
\[f(3)=3^2=9\]
\[\frac{f(3+h)-f(3)}{h}=\frac{(3+h)^2-9}{h}\]

Answer 7

Ah, ok thanks. It makes sense when I look at it laid out like that. I was just thinking that since the numerator ends with f(c) (for the definition of derivative formula) that 9 must have been c.