Sections 4.1 & 4.2: Using the Derivative to Analyze Functions

calculus - Finding Points of Inflection from First Derivative Graph - Mathematics Stack Exchange. If I am finding the inflection points of a function

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Inflection Points

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How to determine points of inflection from a graph of

The first derivative of the function is f’ (x) = 4x 3 – 48x The second derivative of the function is f” (x) = 12x 2 – 48 Set f” (x) = 0, 12x 2 – 48 = 0 Divide by 12 on both sides, we get x 2 – 4 = 0 x 2 =

Inflection points from first derivative

Is there any way to find inflection points using first derivative? Yes, it is where the first derivative goes from increasing to decreasing or vice-versa. But it is hard to get the exact point at which
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