Suppose $f(x)$ is twice differentiable in the interval [1, 3] and $f(1)=f(3)$. If $\left|f^{\prime…

Suppose $f(x)$ is twice differentiable in the interval [1, 3] and $f(1)=f(3)$. If $\left|f^{\prime \prime}(x)\right| \leq 2$, then for all $x$ in $[1,3]$, which one of the following is true?
  1. $\left|f^{\prime}(x)\right| \geq 1$
  2. $-4 < f^{\prime}(x) < 4$
  3. $\left|f^{\prime}(x)\right|>2$
  4. $-3 \leq f^{\prime}(x) \leq 3$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 2)

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