Tutorial Week 9
Higher order Partial Derivatives
Q1: Find \(\frac{\partial^2}{\partial x \partial y}(sec(xy) + x^2y^3)\).
Q2: Find all second-order partial derivatives of \(f(x, y) = x^4sin(y) + xy^2\).
Q3: List all second-order partial derivatives of \(f(x, y, z)\).
Implicit functions and Higher order Partial Derivatives
Q4: Find \(\frac{\partial^2 z}{\partial x \partial y}\) if \(x^2yz = sin(x)cos(y)cos(z)\) if z is an implicitly defined function in terms of x and y.
