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[DOC File]Section 1
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Using the definition of derivative, prove is not differentiable at x = 0. Theorem: If f is differentiable at a point c, then f is continuous at c. The converse is false. * differentiabilitycontinuity limit. There are 3 common ways for a function to fail to be differentiable at a point (look at page 170): 1. The graph has a sharp point or cusp ...
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[DOC File]EXTRA CREDIT: +5 points
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The Derivative – Day 1 WKST Name: The Formal Limit Definition of the Derivative. Graphical and Numerical Understanding of the Derivative as a Slope and Rate of Change. 1. Find the derivative, , of 2. Verify the derivative, , of algebraically using the limit definition. in #1 by using the short-cut formula.
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[DOC File]AP Calculus BC Syllabus
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A. Definition of the derivative of a function. B. Differentiability. Local linearity. Numeric derivatives using the calculator. Differentiability and continuity. Theorems on the derivative. C. Derivative rules. D. Applications to velocity and acceleration. E. Derivatives of trigonometric functions. F. The Chain Rule. G. Implicit derivatives
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[DOC File]Average Rate of Change vs
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2 Sketch the graph of a function with a constant negative derivative when x0, a root at -1 and not differentiable at 0. LESSON #4. Cw. Draw the derivative worksheet- talk about increasing and decreasing. HW. Page 3 of packet- both sides. 1. 2. Find the derivative using the limit process f(x)=5-x2
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Syllabus for AP Calculus AB
Defining the Derivative at a Point. Students develop two limit definitions for the derivative of f(x) at . Derivative as a Function. Students discover derivative formulas using their limit definitions for a derivative. They also sketch approximate graphs for derivatives from a graph of the original function. Differentiation Rules (~ 20 days)
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[DOC File]PLEASANT VALLEY SCHOOL DISTRICT
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CBL (Calculator Based Lab) OBJECTIVES. The learner will define the derivative, calculate derivatives, and apply the derivative to solve a variety of computational problems and application problems. ESSENTIAL CONTENT Define the derivative in terms of the limit of a difference quotient.
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Derivative using the limit definition calculator