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[DOC File]2007 AB Calculus Exam – Solutions - Ryono
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(a) I told you (week #2) to memorize the derivative of !!! Okay, so we’re going to have to express the radical as a ‘power function’ after all! Rewriting the first derivative as… , we can now find d2y/dx2. (b) Set dy/dx = 0 and plug in x = 1, solving for ‘k’. or Wow, that was easy! (c) Here set the 2nd derivative …
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Chapter 1: Limits and Their Properties
Students make extensive use of the TI-84 calculator. Each student has his or her own calculator. 4. Students use their calculators to: ... • Increasing and decreasing functions and the First Derivative Test • Concavity and its relationship to the first and second derivatives ... • Definition of a series as a sequence of partial …
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[DOCX File]Derivatives - Mater Academy Charter Middle / High School
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Aug 07, 2013 · Students who are taking calculus BC have already been trained to use the graphing calculator. In any case, the teacher will spend additional time (by means of after school tutoring) during the first weeks of the school year, training students in the use of the TI-83 calculator, and addressing concerns about its usage.
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[DOC File]Section 1
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Section 7.4: Integration of Rational Functions by Partial Fractions SOLs: APC.13: The student will find the indefinite integral of algebraic, exponential, logarithmic, and trigonometric functions. The special integration techniques of substitution (change of variables) and integration by parts will be included.
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[DOC File]Unit 1: Functions, Limits, and Continuity
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The Derivative. Definition of the Derivative (difference quotient) Derivative at a Point. One-sided derivatives. Numerical Derivative of a Function (using nDeriv on the calculator) Graphing f`(x) using the graph of f(x) The Derivative as a Function. Graphing the Derivative (explore using Y2 = nDeriv(Y1,X,X) on the calculator) Differentiability
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[DOC File]AP Calculus BC Syllabus - Warren County Public Schools
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First derivative test for extrema. Concavity and points of inflection. Second derivative test for extrema. D. Optimization problems. E. Related rates. F. Visualizing motion using parametric equations and the calculator. G. Graphical antidifferentiation. Given a derivative of a function, sketch the original function. Given a function, sketch its ...
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[DOC File]Extrema and the Mean Value Theorem
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Use the First Derivative Test to find the intervals where the function increases and/or decreases . ... Use your calculator to find the minimum value of the function in that interval. ... For a presentation of higher order partial derivatives (7.0), see Calculus, Higher Order Derivatives (8:09) .
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[DOC File]Math 142 - Introduction to Calculus
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7. Understand the derivative as a rate of change. Sketch curves using symmetry and asymptotes. Use first and second derivative tests. Solve optimization problems. Use simple techniques of integration. Integrate and differentiate logarithmic and exponential functions.
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[DOC File]AP BC Calculus First Semester Exam Review Guide
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Know the definition of a derivative. You will not be asked to find the derivative using the definition, but you might need to justify an open-ended problem or a proof using the definition. Rules for differentiation (pgs. 116–119) Product rule, Quotient rule, Chain Rule, Chain Rule Parametrically
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[DOC File]AP Calculus AB Syllabus
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Students will be shown how to use their calculator to evaluate a derivative at a given point. They will then practice using their calculators to answer several AP exam questions. Applications of Differentiation. Extrema on an Interval. Rolle’s Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test
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First partial derivative calculator