Let ๐‘“(๐‘ฅ)=๐‘ฅ3โˆ’3๐‘ฅ2+2๐‘ฅf(x)=x 3 โˆ’3x 2 +2x. Find the maximum and minimum values of the function ๐‘“(๐‘ฅ)f(x) on the interval [0,3][0,3].

Question

Let ๐‘“(๐‘ฅ)=๐‘ฅ3โˆ’3๐‘ฅ2+2๐‘ฅf(x)=x 3 โˆ’3x 2 +2x. Find the maximum and minimum values of the function ๐‘“(๐‘ฅ)f(x) on the interval [0,3][0,3].
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Solution 1

To find the maximum and minimum values of the function f(x) = x^3 - 3x^2 + 2x on the interval [0,3], we need to follow these steps:

  1. Find the derivative of the function, f'(x), which represents the slope of the function at any point x. The derivative of f(x) = x^3 - 3x^2 + 2x is f'(x) = 3x^2 - 6x Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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