A calculus problem by Harnakshvir Singh Dhillon
Calculus
Level
4
Let \(f\) be a differentiable function on the real numbers satisfying, for all real numbers \(x,y\),
\[ f(x+y) = f(x) + f(y) + xy \]
and \(\lim_{h \to 0} \frac{f(h)}{h} = 3\). What is the value of \(f(1)\)?
by
Harnakshvir Singh Dhillon