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F(x)=x^2(x^2+1). Find inflection point, critical point, max, min and sketch the graph

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F(x)=x^2(x^2+1). Find inflection point, critical point, max, min and sketch the graph
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Solution 1

Sure, let's break this down step by step.

  1. Critical Points: Critical points occur where the derivative of the function is zero or undefined. So, let's first find the derivative of the function F(x) = x^2(x^2+1).

    F'(x) = 2x(x^2+1) + x^2(2x) = 2x^3 + 2x + 2x^3 = 4x^3 + 2x

    Setting F'(x) Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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