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Finding inflection points

In algebra, one of the most important concepts is Finding inflection points.

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Inflection points introduction (video)

You can use the 5 steps below to find the inflection points of a function: Step 1 Differentiate f (x) f (x) to find f’ (x) f ’(x). Then, differentiate f’ (x) f ’(x) to find f’’ (x) f ’’(x) . Step 2
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Free inflection point calculator

Assume you are finding the inflection point of the following function: f (x) = x³+3x-1 Use the power rule f' (x) = 3x³-¹ + 3x¹-¹ = 3x²+3 = the first derivative f (x) = (3) (3)x²-¹ f” (x) = 9x
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5 Ways to Find Inflection Points

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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