3. Let the F(K, N) = KaN¹-a with a € (0, 1):
(a) Take the first, second, and cross derivative of F(K, N). Explain what the sign of each one means.
(b) Divide the function by N and show that the function can be written as F(K, N) = (K/N)ª.
(c) Letting k = K/N, express F(K, N) as a function of just k and let that be f(k).
(d) Take the first and second derivative of f(k). Explain what the sign of each one means.
(e) Based on those derivatives, sketch a graphical representation of the function.