1429 Code Assignment 2 Spring 2026 Question 4 Solution | 1429 Code Business Math Assignments

1429 Code Solved Assignment 2 Spring 2026 All Questions Solution:

Q.4 Partial Derivatives

a) Find the 2nd order derivative of the function: f(x) = cube_root(x^5) [ i.e., x^(5/3) ]

b) Find the values of ∂f/∂x and ∂f/∂y at the point (4, -5) if
f(x, y) = x^2 + 3xy^2 + y - 1.

c) Find the second partial derivatives of the function f(x, y) = 3x^2 y + 2y^3.

d) If f(x, y) = x^2 + y^2 + 2xy, find the critical points and determine if they are maxima or minima.
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