ISI2018-DCG-29

Question

Let $f(x)=(x-1)(x-2)(x-3)g(x); \: x\in \mathbb{R}$ where $g$ is twice differentiable function. Then

• A. there exists $y\in(1,3)$ such that $f’’(y)=0.$
• B. there exists $y\in(1,2)$ such that $f’’(y)=0.$
• C. there exists $y\in(2,3)$ such that $f’’(y)=0.$
• D. none of the above is true.

Comments

https://clay6.com/qa/57361/the-function-f-r-to-r-defined-by-f-x-x-1-x-2-x-3-is

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https://socratic.org/questions/how-do-you-differentiate-f-x-x-1-x-2-x-3-using-the-product-rule