Title: What would the graph of the derivative look like? Calculus
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In the middle of difficulty lies
opportunity Albert Einstein
2.1 Review
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Review for 2.1 The Definition of the
Derivative p.153 1,3,4,5-9,11,13,15,16
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Please be sure and label your Review paper 2.1
Review and do NOT put more than one review per
paper!
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Calculus Concepts you must know
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What does it mean for a line to be tangent to a
curve at a point?
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Consider the curve At what point is
the derivative going to be positive? negative? p
ositive? constant?
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Consider the graph of a parabola. What would the
graph of the derivative look like?
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Ex 1 Find the slope of the graph (using the
derivative rules)
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Ex 2 Find the slopes of the tangent lines to the
graph of (using the limit def)
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When does the tangent line to a curve not
exist? At a vertical tangent line to a point on
a curve (vertical lines have no slope and that
is what the limit gives you)
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At what other places does the derivative not
exist?
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The Derivative of a Function and the process
to get there is calleddifferentiation
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The Derivative of a Function is the slope of
the tangent line at that point. derivative
slope
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Note the Definition of the Derivative of a
Function p.97
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And the other symbols for differentiation p.97
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Example 4 Finding the Derivative by the Limit
Process
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Example 5 Finding the Derivative WRT to t
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HW example 34
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Example 5A Finding the Equation Line at (1,2)
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How do you find the derivative using your
calculator? nderiv
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Test on 2.1 Friday
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Any other questions about 2.1.3???
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24 You Can Do This !