determine\:the\:intervals\:of\:concavity\:and\:the\:points\:of\:inflection\:for\:the\:curve\:y=3x^5-40x^3+3x-20

Question

determine\:the\:intervals\:of\:concavity\:and\:the\:points\:of\:inflection\:for\:the\:curve\:y=3x^5-40x^3+3x-20
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Solution 1

To determine the intervals of concavity and the points of inflection for the curve y = 3x^5 - 40x^3 + 3x - 20, we need to follow these steps:

Step 1: Find the second derivative of the function y = 3x^5 - 40x^3 + 3x - 20.

The first derivative is y' = 15x^4 - 120x^2 + 3.

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