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 freeIn Exercises, use the given information to write an equation for \(y\). Confirm your result analytically by showing that the function satisfies the equation \(d y / d t=C y .\) Does the function represent exponential growth or exponential decay? $$ \frac{d y}{d t}=2 y, \quad y=10 \text { when } t=0 $$
In Exercises, find the derivative of the function. $$ g(x)=\ln \frac{e^{x}+e^{-x}}{2} $$
In Exercises, determine whether the statement is true or false given that
\(f(x)=\ln x .\) If it is false, explain why or give an example that shows it is
false.
$$
\text { If } f(x)<0, \text { then } 0
In Exercises, find the derivative of the function. $$ g(x)=e^{\sqrt{x}} $$
In Exercises, find the derivative of the function. $$ y=e^{-x^{2}} $$
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