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The derivative is y' = 15x2 + 4x − 3. The second derivative is y'' = 30x + 4. And 30x + 4 is negative up to x = −4/30 = −2/15, positive from there onwards. So: f (x) is concave downward up to x =
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Analyzing the second derivative to find inflection points. Learn how the second derivative of a function is used in order to find the function's inflection points. Learn which common mistakes