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Feb 13, 2012 · This article is about a particular function from a subset of the real numbers to the real numbers. Information about the function, including its domain, range, and key data relating to graphing, differentiation, and integration, is presented in the article.

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Calculating Derivatives with Mathematica D. Mathematica contains the function D which will allow you to differentiate a given equation with respect to some variable. In fact, D will allow you to differentiate whole list of equations at once. The use of D is very straightforward. The first argument to D is the equation or list of equations the ...

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Exponential and Log Functions Worksheet Exponential Functions and Inverse of a Function 1. Find the inverse of f x x( ) 2 3 2. Find the inverse of 4 (2) x g x x Mini Lecture: If fx( ) 3 x and 1 2 x gx §· ¨¸ ©¹ find, a. g(0) b. f( 3) c. fg(2) ( 2) d. Graph y x2x e. Graph y 3 and its inverse 3. Graph yx2 2 and find its inverse and graph it ...

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We begin the section by defining the natural logarithm in terms of an integral. This definition forms the foundation for the section. From this definition, we derive differentiation formulas, define the number e, e, and expand these concepts to logarithms and exponential functions of any base. The Natural Logarithm as an Integral

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Instructions: Use this step-by-step Logarithmic Function Calculator, to find the logarithmic function that passes through two given points in the plane XY. You need to provide the points \((t_1, y_1)\) and \((t_2, y_2)\), and this calculator will estimate the appropriate exponential function and will provide its graph.

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Fig.6.2 Semi-logarithmic plot of a composite decay curve for a mixture of two independent radioactive compounds with half-lives of 2 and 10 hours. The longer-lived activity can be subtracted from the sum curve (heavy line) to produce the semi-logarithmic straight decay curve for the shorter-lived nuclide.