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Concavity and inflection points practice
Concavity and inflection points · 1–12
Use the second derivative to answer each question.
1.f(x) = −x3 − 4x + 5Find the x-coordinates of the inflection points.
2.f(x) = −x3 − 9x2 + 8x − 4Find the x-coordinates of the inflection points.
3.f(x) = −x3 − 3x2 − 8Find the x-coordinates of the inflection points.
4.f(x) = x3 − 12x2 − 6x − 6Find the x-coordinates of the inflection points.
5.f(x) = x3 − 6x2 + 6x − 9Find the x-coordinates of the inflection points.
6.f(x) = −x3 + 3x2 + 3x + 2Find the x-coordinates of the inflection points.
7.f(x) = 2x3 + 12x2 + 4x − 6Find the x-coordinates of the inflection points.
8.f(x) = −2x3 − x + 4Find the x-coordinates of the inflection points.
9.f(x) = 2x3 + 6x2 + x − 5Find the x-coordinates of the inflection points.
10.f(x) = −x3 − 6x2 + x + 6Find the x-coordinates of the inflection points.
11.f(x) = x3 + 3x2 − 6x + 3Find the x-coordinates of the inflection points.
12.f(x) = 2x3 + 24x2 − x − 9Find the x-coordinates of the inflection points.
Answer key — Concavity and inflection points practice
Concavity and inflection points
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