Math Problem Statement
$$$$ x^9-3x^7+2Find the X-cordinates of all local maxima using the second derivative test
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Critical Points
Second Derivative Test
Formulas
f'(x) = 9x^8 - 21x^6
f''(x) = 72x^7 - 126x^5
Second Derivative Test: If f''(x) > 0, x is a local minimum; if f''(x) < 0, x is a local maximum
Theorems
Second Derivative Test
Suitable Grade Level
Grade 12 or College Calculus
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