The second derivative of a function f is given by f ′′ (x)=x(x−3) 5 (x−10) 2 . At which of the following values of x does the graph of f have a point of inflection? 3 only (B) 0 and 3 only (C) 3 and 10 only 0,3 , and 10
Added by Krish C.
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In other words, we need to find the values of x where f''(x) = 0 or is undefined. First, let's find the values of x where f''(x) = 0. We have f''(x) = x(x-3)^5(x-10)^2. Setting this equal to 0, we get: x(x-3)^5(x-10)^2 = 0 This equation is satisfied when x = 0, Show more…
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