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Calculus 3: Lagrange multipliers

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Finding Extrema with Constraints in Multivariable Functions

Find the maximum and minimum values of the function f(x,y)=2x2+y2−yf(x, y) = 2x^2 + y^2 - y given the constraint x2+y2≤1x^2 + y^2 \leq 1.

Lagrange multipliersMediumVideo
Find maximum and minimum of f using Lagrange multipliers

Find the maximum and minimum of the function f(x, y) = xy + 1 subject to the constraint x2+y2=1x^2 + y^2 = 1 using Lagrange multipliers.

Lagrange multipliersMediumVideo