PPT-Definition of the Derivative

Section 31a Answers to the Do Now Quick Review p101 1 2 3 5 Slope 6 4 7 8 9 No the onesided limits at x 1 are different 10 No f is discontinuous at . We have that AA 1 that is that the product of AA is the sum of the outer products of the columns of To see this consider that AA ij 1 pi pj because the ij element is the th row of which is the vector a a ni dotted with the th column of which is Notation dx dx y 00 f 00 Thus dx dx dy dx Example Find the second derivatives of the following functions a 2 x y 00 2 b y 00 c 5 4 5 y 00 The 64257rst derivative gives information about whether a funct ion increases or decreases In fact A d O 13526 brPage 2br Derivative Classifier Training Page of 21 Derivative classifiers must receive training every two years if training is not completed you will be unable to derivatively classify materials As a derivative classifier you are assigned a Section 3.1b. Remember, that in . graphical terms. , the derivative of a. function at a given point can be thought of as the . slope. of the curve at that point…. Therefore, we can get a good idea of what the graph of. Points of Inflection. Section 4.3a. Writing: True . or . False – A . critical point . of. a function always signifies . an . extreme. value . of the . function. Explain.. FALSE!!! – Counterexample???. Derivative. A . derivative. of a function is the instantaneous rate of change of the function at any point in its domain.. We say this is the derivative of . f. with respect. to the variable . x. .. Derivative. A . derivative. of a function is the instantaneous rate of change of the function at any point in its domain.. We say this is the derivative of . f. with respect. to the variable . x. .. Chapter 3.1. Definition of the Derivative. In the previous chapter, we defined the slope of the tangent line to a curve . at a point . as. When this limit exists, it is called the . derivative of . lossary Derivative ClassificationCourse GlossaryPage Compromise: An unauthorized disclosure of information.onfidential: The classification level applied to information, the unauthorized disclosure FGFOA Conference, Orlando FL,. Mark A. White, CPA, Partner, Purvis Gray & Company LLP. Jim Towne, Senior VP, DerivActiv. 1. Statement 53. Accounting and Financial Reporting for Derivative Instruments. VALUE THEOREMS. Derivability of a function :. A function . f . defined on [. a, b. ] is said to be derivable or differentiable at if exists. This limit is called derivative of . Slope of the Tangent Line. If . f. is defined on an open interval containing . c. and the limit exists, then . . and the line through (. c. , . f. (. c. )) with slope . m. is the line tangent to the graph of . The Second Derivative and the Function. The first derivative tells us where a function is increasing or decreasing. But how can we tell the manner in which a function is increasing or decreasing?. For example, if . NOW: . Replace: . Graph of . , with words:. Graph: (. , the . slope of the tangent line to the . function . . at that . point). .  . CALCULUS problem:. Graph: (. , the slope of the tangent line to the function .