Chapter 10: Problem 24
In Exercises, use a graphing utility to graph the function. $$ y=4^{x}+3 $$
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 10: Problem 24
In Exercises, use a graphing utility to graph the function. $$ y=4^{x}+3 $$
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeIn Exercises, find the derivative of the function. $$ f(x)=\left(x^{2}+1\right) e^{4 x} $$
In Exercises, use a calculator to evaluate the logarithm. Round to three decimal places. $$ \log _{7} \frac{2}{9} $$
In 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? $$ \frac{d y}{d t}=-\frac{2}{3} y, \quad y=20 \text { when } t=0 $$
In Exercises, find the derivative of the function. $$ f(x)=\log _{2} x $$
In Exercises, use a graphing utility to verify that the functions are equivalent for \(x>0\). $$ \begin{aligned} &f(x)=\ln \frac{x^{2}}{4} \\ &g(x)=2 \ln x-\ln 4 \end{aligned} $$
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