- #1

panadaeyes

- 4

- 0

## Homework Statement

Ax^2 + Bx + C if neg. infinity < x </= 0

f(x) =

x^(3/2) cos (1/x) if 0 <x< pos. infinity

Use the definition of the derivative to determine all possible values of the constants A, B and C such that f'(0) exists. Cannot use differentiation formulas.

## Homework Equations

definition of the derivative: lim h->0 of (f(a+h) -f(a))/h

## The Attempt at a Solution

I used the definition of the derivative for Ax_2 + Bx + C and got an answer of B; but what am I supposed to be looking for? Would f'(0) just be B?

and do I have to do anything with the second part ( x^(3/2) cos 1/x)?