- #1

Tanishq Nandan

- 122

- 5

## Homework Statement

Let f((x+y)/2)= {[f(x)+f(y)]/2} for all real x and y

{f'(x)=first order derivative of f(x)}

f'(0) exists and is equal to -1 and f(0)=1.

Find f(2)

## Homework Equations

Basic formula for differentiablilty:

f'(x)=limit (h tends to 0+) {[f(x+h)-f(x)]/h}

## The Attempt at a Solution

I know that when you have a functional equation along with some info about it's derivative,you need to apply the basic formula of differentiablilty to find f'(x) and evaluate the limits using the given functional equation..and that's precisely what I did..but how do I get to f(2) from this??

Now,as I said,how to get f(2) from here??