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

1 Answer
Monzur R.
Nov 17, 2017

The maximum value of f(x) is infinity.

Explanation:

Let f(x)=20e^(-2x)sin3x.

In order to find the maximum value of f(x), we need to consider the functions which make up f and their maximum values. f is a product of 3 functions: 20, e^(-2x) and sin3x. So the maximum of f will be the product of the maximum of these three functions.

  • The max value of 20 is 20.
  • The max value of e^(-2x) is oo
  • The max value of sin3x is 1

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

So the max value of f is 20*oo*1=oo

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