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Unit: Applications of multivariable derivatives

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Tangent planes and local linearization

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Practice

Finding tangent planesGet 3 of 4 questions to level up!

Quadratic approximations

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The Hessian matrixGet 3 of 4 questions to level up!

Quiz 1

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Optimizing multivariable functions

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Find critical points of multivariable functionsGet 3 of 4 questions to level up!
Visual zero gradientGet 3 of 4 questions to level up!
Classifying critical pointsGet 3 of 4 questions to level up!

Optimizing multivariable functions (articles)

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Quiz 2

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Lagrange multipliers and constrained optimization

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Constrained optimization (articles)

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Unit test

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About this unit

The tools of partial derivatives, like the gradient and other concepts, can be used to optimize and approximate multivariable functions. These are very useful in the real world—this is one of the main reasons why people study multivariable calculus!