Find all the local maxima, local minima, and saddle points of the function f(x, y) = 1 - (x^2 + y^2)^(1/5).
Added by Anne M.
Step 1
The partial derivative of f with respect to x: ∂f/∂x = -2/5 * (x^2 + y^2)^(-4/5) * 2x = -4x/(5(x^2 + y^2)^(4/5)) The partial derivative of f with respect to y: ∂f/∂y = -2/5 * (x^2 + y^2)^(-4/5) * 2y = -4y/(5(x^2 + y^2)^(4/5)) Show more…
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