Concise Modular Calculus 85 97

(1/3 on Multivariable Optimization) Explains that, at the location of a relative maximum or minimum, the gradient of a multivariable ...

Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ...

Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...

Explains what

Defines absolute extrema and solves optimization problems, including minimization of distances. All videos and slides for single ...

Visually illustrates the typical ways in which limits are used: Divisions by zero, defining derivatives, defining integrals and ...

Defines sequences as, well, sequences of numbers. Explains how the limit of a sequence governs the sequence's long-term ...

Justifies how a derivative can be found implicitly when we cannot solve for y. Computes tangent lines via implicit differentiation ...