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[DOC File]Inverse Functions
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Thus the derivative of an exponential function is . In the special case where the base is since the derivative rule becomes . To generalize, if is a differentiable function of with the use of the Chain Rule the above derivatives take the general form . And if . Derivatives of Exponential Functions. Example 9: Find the derivative of . Solution:
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[DOC File]Section 1
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Section 3.5: The Chain Rule. SOLs: APC.5: The student will apply formulas to find the derivative of algebraic, trigonometric, exponential, and logarithmic functions and their inverses. APC.6: The student will apply formulas to find the derivative of the sum, product, quotient, inverse and composite (chain rule) of elementary functions.
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[DOC File]AP Calculus Ms. Kohler
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3.6C The CHAIN RULE and Symbolic Manipulation The table shows selected values of functions and along with the derivatives at these locations. 0 1 1 5 1/3 1 3 ( 4 ( 1/3 ( 8/3 For each function described below, determine the value of its derivative at the given x-value.
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[DOC File]AP Calculus AB Syllabus
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Chain Rule. Derivative of a composite function. Outside-Inside Rule. Repeated use of Chain Rule. Slopes of parametrized curves. Power Chain Rule. Implicit Differentiation. Implicitly defined functions. ... The use of the calculator may be at times the only way to solve problems (graphical approach), but the calculator is often used as a tool to ...
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[DOC File]AP Calculus AB
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The meaning of the derivative---translating verbal descriptions into equations and vice versa. The relationship between differentiability and continuity. The Derivative and the Tangent Line Problem. Basic Differentiation and Rates of Change. Product and Quotient Rules. Higher Order Derivatives. The Chain Rule. Implicit Differentiation. Related ...
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Activity overview:
Derivative of ex and the chain rule. Derivative of b·au(x) Teacher Preparation and Notes. Students will need to know that the derivative of position is velocity, and the derivative of velocity is acceleration. For questions at the end, students are expected to know the derivative of trig functions and the product rule.
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[DOC File]Tangent Lines and Rates of Change
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15. 3.3 The Chain Rule. Learning Objectives . A student will be able to: Know the chain rule and its proof. Apply the chain rule to the calculation of the derivative of a variety of composite functions. We want to derive a rule for the derivative of a composite function of …
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[DOCX File]VOCABULARY: derivative, first derivative, second ...
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Feb 12, 2011 · VOCABULARY: derivative, first derivative, second derivative, product rule, quotient rule, chain rule STUDENT OBJECTIVES ( COMPETENCIES /OUTCOMES ): Extend algebraic properties and processes to quadratic, exponential, and polynomial expressions and equations and to matrices, and apply them to solve real world problems.
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[DOC File]AP Calculus Assignments: Derivative Techniques
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7 The Chain Rule HW Derivative Techniques - 7 . 8 The Chain Rule HW Derivative Techniques - 8. 9 Implicit Differentiation HW Derivative Techniques - 9. 10 More practice ... Use nDeriv on your calculator to graph and its derivative. (Enter . Y = nDeriv(e^(X),X,X)) What is the derivative of ? If the graph doesn’t do it for you, check the tables
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[DOC File]AB CALCULUS
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Chain Rule. Trigonometric Functions and their derivatives. Applications of the chain rule – deriving and more. Implicit differentiation. All the rules together. Unit 3 – Applications of the Derivative (2-3 weeks) Linear approximation and the derivative – tangent line approximations and error
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Chain rule calculator derivative