'Differentiable' diaporamas de présentation

Derivative Review Part 1

Derivative Review Part 1. 3.3,3.5,3.6,3.8,3.9. Find the derivative of the function. p. 181 #1. Find the derivative of the function. p. 181 #3. Find the derivative of the function. p. 181 #3. Find the derivative of the function. p. 181 #4. Find the derivative of the function. p. 124 #4.

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Limits, Continuity and the Derivative

Limits, Continuity and the Derivative. The Derivative and the Slope of a Graph. Consider the case of an object moving along a curve from left to right. At the point where the object is released, it continues in a straight line. This line is called the tangent line .

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The Mean Value Theorem

The Mean Value Theorem. Average Speed. = 78 mph. Average Speed. = 78 mph. Instantaneous Speed =. 78 mph. The Mean Value Theorem. Let f be continuous on [a, b] and differentiable on (a, b). Then there exists a point c in (a, b) such that:. a. c. b. The Mean Value Theorem.

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3.3 Rules for Differentiation

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3.2

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3.2

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4.2 Mean Value Thm for Derivatives

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I will be collecting your homework

Hi. I will be collecting your homework. Chain Rule How to differentiate a composition. Y is a function of u, and is a function of x. Basic Idea:. Compositions. Let Write each as a composition of 2 or more functions. More Composition review. Given the functions, find.

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I will be collecting your homework tomorrow

Hi. I will be collecting your homework tomorrow. Chain Rule How to differentiate a composition. Y is a function of u, and u is a function of x. Basic Idea:. Compositions. Let Write each as a composition of 2 or more functions. More Composition review. Given the functions, find.

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Section 3-2

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2.3 The Derivative

T. x. 2.3 The Derivative. General idea: introduce the derivative from geometric configuration as the slope of the line tangent to a curve at a given point .

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5.3 The Fundamental Theorem of Calculus

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Derivative as a Function

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Economics 2301

Economics 2301. Lecture 16 Derivatives and differentials. Differentiability. A function is d ifferentiable over a certain interval if a derivative exists for each point in that interval. Not all functions are differentiable in their entire domain.

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At how many points for the given function does the limit not exist?

At how many points for the given function does the limit not exist?. At how many points for the given function does the limit from the left not exist?. At how many points is the given function not continuous ?. At how many points is the given function not differentiable ?.

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Quotient Rule

Quotient Rule. If f and g are differentiable, then. Examples:. 1) 2). 3) 4).

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Features of Graphs:

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