# How do you find the maximum value of #f(x)=20e^(-2x)*sin(3x) #?

The maximum value of

It is also important to note that all three of these functions can take their max values simultaneously.

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To find the maximum value of the function ( f(x) = 20e^{-2x} \cdot \sin(3x) ), you need to find the critical points by taking the derivative of the function, setting it equal to zero, and solving for ( x ). Then, you evaluate the second derivative to determine whether each critical point is a maximum, minimum, or inflection point. However, the function ( f(x) = 20e^{-2x} \cdot \sin(3x) ) does not have a maximum value as it increases without bound as ( x ) approaches infinity.

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