Pages similar to: An algebra trick for finding critical points
- Minimization and maximization refresher
How to calculate the maxima and minima of a differentiable function. - Local minima and maxima (First Derivative Test)
How to calculate the local maxima and minima of a differentiable function. - Minimization and maximization problems
Sample problems illustrating minimization and maximization. - Introduction to local extrema of functions of two variables
Introduction to the idea of critical points and local extrema of two variable functions. - Two variable local extrema examples
Examples of calculating the critical points and local extrema of two variable functions. - The idea of the derivative of a function
The derivative of a function as the slope of the tangent line. - Derivatives of polynomials
How to compute the derivative of a polynomial. - Derivatives of more general power functions
How to compute the derivative of power functions. - A refresher on the quotient rule
How to compute the derivative of a quotient. - A refresher on the product rule
How to compute the derivative of a product. - A refresher on the chain rule
How to compute the derivative of a composition of functions. - Tangent and normal lines
How to compute the tangent and normal lines to the graph of a function. - Critical points, monotone increase and decrease
How to compute the intervals along which a function is increasing or decreasing. - Linear approximations: approximation by differentials
Approximating the value of a function near a point by its tangent line formula. - Implicit differentiation
Differenting a function that is defined implicitly in terms of a relation between two variables. - Related rates
Calculating one derivative in terms of another derivative. - Intermediate Value Theorem, location of roots
Using the Intermediate Value Theorem to find small intervals where a function must have a root. - Derivatives of transcendental functions
A list of formulas for taking derivatives of exponential, logarithm, trigonometric, and inverse trigonometric functions. - L'Hospital's rule
A way to simplify evaluation of limits when the limit is an indeterminate form. - Exponential growth and decay: a differential equation
Solving a differential equation to find an unknown exponential function.