Concise Modular Calculus 17 97

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Justifies the chain rule. Computes tangent lines, where a function is increasing or decreasing, graphs a function and solves an ... Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ... Presents the derivative form of the fundamental theorem of Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ... Derives the product rule and the quotient rule. Computes tangent lines and where a function is increasing or decreasing. Checks ... Explains how linear approximations are used in estimates and in the analysis of error propagation. All videos and slides for single ...

Demonstrates that the Mean Value Theorem is the tool that connects slopes (a microscopic concept) with growth behavior (a ... Computes a formula for the derivative of an inverse function. Presents the derivatives of the logarithm function, the inverse sine ... Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ... Explains the standard equations (vector, parametric and symmetric) of a line in three-dimensional space. Exhibits situations in ...