Chapter 10: Problem 27
In Exercises, find the second derivative. $$ f(x)=2 e^{3 x}+3 e^{-2 x} $$
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 10: Problem 27
In Exercises, find the second derivative. $$ f(x)=2 e^{3 x}+3 e^{-2 x} $$
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeStudents in a learning theory study were given an exam and then retested monthly for 6 months with an equivalent exam. The data obtained in the study are shown in the table, where \(t\) is the time in months after the initial exam and \(s\) is the average score for the class. $$ \begin{array}{|l|l|l|l|l|l|l|} \hline t & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline s & 84.2 & 78.4 & 72.1 & 68.5 & 67.1 & 65.3 \\ \hline \end{array} $$ (a) Use these data to find a logarithmic equation that relates \(t\) and \(s\). (b) Use a graphing utility to plot the data and graph the model. How well does the model fit the data? (c) Find the rate of change of \(s\) with respect to \(t\) when \(t=2\). Interpret the meaning in the context of the problem.
In Exercises, find the derivative of the function. $$ f(x)=x \ln e^{x^{2}} $$
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