3. Let the F(K, N) = KaN-a with a (0, 1): (a) Take the first,...

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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. 2 (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. 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. 2 (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.