Calculus for Everyone

1
Calculus for Everyone
Remember the Semester Test will cover P.1-3.4
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Calculus for Everyone
Chapter P must knows
How to find intercepts x and y Identify types
of symmetry Identify types of graphs Find the
slope of a line though two points Write the
equation a line given data points Find the
equation of a line that is perpendicular to
another line Find the equation of a line that is
parallel to another line
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Calculus for Everyone
Chapter P must knows
Find the equation of a line in an application
problem and then answer a question about your
equation Find the domain of functions Evaluate a
piece-wise function Describe the transformations
of a function Odd and even functions know the
difference Find the composite of a function (
generally and specifically) Use the calculator to
find a regression equation Give the scatter
plot Use it to predict
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Calculus for Everyone
Chapter 1/2 must knows
Find limits graphically and justify your
answer Find limits numerically and justify your
answer Find limits algebraically and justify your
answer Continuity removable and non-
removable What a derivative means graphically and
be able to find a numeric value Find the
derivative using the limit definition Graphically
where is a function not differentiable What is
the relationship between differentiability and
continuity is
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Calculus for Everyone
Chapter 1/2 must knows
Derivative rules product, quotient, trig, and
all others that have been discussed Relationshi
p between average rate of change and
instantaneous rate of change Find the equations
of a tangent line Right-handed and left-handed
limits Evaluate a piece-wise limit Find vertical
asymptotes
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Calculus for Everyone
Chapter 1/2 must knows
Derivative rules product, quotient, trig, and
all others that have been discussed Relationshi
p between average rate of change and
instantaneous rate of change Find the equations
of a tangent line Right-handed and left-handed
limits Evaluate a piece-wise limit Find vertical
asymptotes
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Calculus for Everyone
Chapter 2/3 must knows
Find higher-order derivatives Know graphically
the difference between the original function,
first and second derivative Chain
Rule Application problems using velocity and
acceleration Implicit differentiation and then
evaluating at a point Related rate
problems How to find critical numbers
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Calculus for Everyone
Chapter 2/3 must knows
Finding extrema Examining graph and telling
whether you have an extrema or not Rolles
Theorem Mean Value Theorem Using the Mean-Value
Theorem to find the c value Determining open
intervals where a function is increasing of
decreasing Using the First and Second Derivative
Tests to find extrema values Determining
concavity and points of inflection
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You Can Do This !