'Differentiable functions' presentation slideshows

Arguments with Quantified Statements

Arguments with Quantified Statements. Lecture 10 Section 2.4 Thu, Jan 27, 2005. Universal Modus Ponens. The universal modus ponens argument form: ? x ? S , P ( x ) ? Q ( x ) P ( a ) for a particular a ? S ? Q ( a ). Example.

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Math 180

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Related Rates

Related Rates. Objective: To find the rate of change of one quantity knowing the rate of change of another quantity. Related Rates.

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Mathematics

Mathematics. Session. Differentiation - 2. Session Objectives. Fundamental Rules, Product Rule and Quotient Rule Differentiation of Function of a Function Differentiation by Trigonometric Substitutions Differentiation of Implicit Functions Class Exercise. Fundamental Rules.

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Section 3.6 Recap

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Lectures prepared by: Elchanan Mossel Yelena Shvets

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Homework Quiz

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3.7 Implicit Differentiation

3.7 Implicit Differentiation. Implicitly Defined Functions How do we find the slope when we cannot conveniently solve the equation to find the functions?

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Ms. Battaglia AB/BC Calculus

2.5 Implicit Differentiation Objective: Distinguish between functions written in implicit form and explicit form. Use implicit differentiation to find the derivative of a function. Ms. Battaglia AB/BC Calculus. Implicit & Explicit Functions.

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AP Calculus Chapter 3 Section 2

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3.5 Derivatives of Trigonometric Functions

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Additional Topic In Integration Chapter Six

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parametric

parametric . zhang han. parametric . Parametric derivative is a derivative in calculus that is taken when both the x and y variables (traditionally independent and dependent , respectively) depend on an independent third variable t , usually thought of as "time". parametric .

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Lesson 3-5

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Section 2.3

Section 2.3. Differentiation Formulas. DIFFERENTIATION FORMULAS FOR BASIC FUNCTIONS. 1. The derivative of a constant function, f ( x ) = c. 2. The derivative of the identity function, f ( x ) = x. THE POWER RULE.

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In Section 2.1 we considered the derivative at a fixed number a .

2.2 The derivative as a function. In Section 2.1 we considered the derivative at a fixed number a . Now let number a vary. If we replace number a by a variable x , then the derivative can be interpreted as a function of x : Alternative notations for the derivative:

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The Mean Value Theorem

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