Mathematics

Problem

If the functions

f(x) = \frac{x^3}{3} + 2bx + \frac{ax^2}{2}

and

g(x) = \frac{x^3}{3} + ax + bx^2

a \neq 2b

have a common extreme point, then

a + 2b + 7

is equal to ![](![Bookmark icon](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/7632c32dc948489e9accec66498cbba4/30a26f2d17ca95672702bf50fb4f0242_img.jpg)) A 4 B

2\frac{1}{2}

C 3 D 6

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