Download Section 1: Factor polynomial equations over the reals (quadratics

Section 1:
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Factor polynomial equations over the reals (quadratics and cubics)
Construct a linear model from a set of data points and calculate the squared residual.
Find vertical and horizontal asymptotes of rational equations and graph.
Give domain, range, and graph of a logarithmic equation and exponential equation.
Calculate logarithms using the definition of logs, properties, and the change of base theorem.
Section 2
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Calculate a limit, a one sided limit, and a limit involving infinity
Evaluate the difference quotient for a function and use to find the slope of the tangent line.
Find derivatives of polynomial, rational, exponential and log functions using the power rule,
product rule, quotient rule, and chain rule
Find points of discontinuity for a given polynomial or rational function.
Given a Cost, find Marginal cost, given a Profit, find marginal profit.
Section 3
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Find second derivatives of polynomial, rational, exponential and log functions using the power
rule, product rule, quotient rule, and chain rule
Locate local extrema (max and min) of a given function as well as inflection points
Locate absolute extrema on a closed interval.
Use first and second derivative tests to find and distinguish local max, local min and inflections
Law of diminishing returns.
Section 4
 Find the integral of a polynomial and exponential functions.
 Use substitution method to integrate more complex functions.
 Calculate the intersection of 2 curves.
 Calculate the area between a curve and the x axis or between 2 given curves.
 Find general of particular solutions of a differential equation (includes separable)
Section 5
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Define: continuity, derivative, critical number of a function, one sided and 2 sided limits, local
extrema, inflection point, antiderivative
State: product rule, quotient rule, chain rule, first derivative test, second derivative test,
fundamental theorem of calculus
Know how to calculate first and second order partial derivatives for a given function f(x,y)
DON’T FORGET YOUR INDEX CARDS (size 3x5) TO BE USED DURING THE FINAL EXAM.