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    • ▾Calculus 3
      • ▸3-dimensional space
        • •Vector functions
        • •Cylindrical coordinates
        • •Intro to calc 3
        • •Proving a property of the cross product
        • •Proving equivalence of the dot product definitions
        • •Relating the cross product to the area of a parallelogram
      • ▾Partial derivatives
        • •General chain rule
        • •Maximizing the product of three real numbers, given their real number sum
        • •Intro to partial derivatives
        • •First order partial derivatives
        • •Directional derivatives
        • •Higher order partial derivatives
      • ▸Applications of partial derivatives
        • •Tangent planes and linear approximations
        • •Special points of multivariable functions
        • ▸Lagrange multipliers
          • •Lesson
      • ▸Multiple integrals
        • •Midpoint rule for double integrals
        • •Riemann sums for double integrals
        • •Average value of a double integral
        • •Intro to double integrals
        • •Double integrals over rectangular regions
        • •Double integrals over general regions
        • •Iterated integrals
        • •Changing the order of integration
        • •Triple integrals
      • ▸Line integrals
        • •Conservative vector fields
        • •Green's theorem
      • ▸Surface integrals
        • •Curl and divergence
     › Calculus 3 › Partial derivatives

    Maximizing the product of three real numbers, given their real number sum

    Students will learn how to maximize the product of three real numbers, given their real number sum.

    Max product of 3 real numbers by Krista King

    Conclude by giving your students these challenges:

    • Pareq Exists by NRICH
    • Getting Round the City by NRICH
    • Seven Squares by NRICH
    • 2000 AMC 8, Problem 8
    • Circle Moves