TS EAMCET · Maths · Functions
If \(f(x)=|x-1|+|x-2|\), then \(f^{\prime}(-2023)+\) \(\mathrm{f}^{\prime}\left(\frac{2024}{2023}\right)+\mathrm{f}^{\prime}(2023)=\)
- A \(1\)
- B \(-1\)
- C \(0\)
- D \(3\)
Answer & Solution
Correct Answer
(C) \(0\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { When } x=-2023 \Rightarrow f(x)=-(x-1)-(x-2)=-2 x+3 \\ & \Rightarrow f^{\prime}(x)=-2 \Rightarrow f^{\prime}(-2023)=-2 \\ & \text { When } x=\frac{2024}{2023} \Rightarrow f(x)=(x-1)-(x-2)=1 \\ & \Rightarrow f^{\prime}(x)=0 \Rightarrow…
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