AP EAMCET · Maths · Differentiation
If \(f(x)=\left|x^2-3 x+2\right|\), then \(\frac{d f}{d x}=\)
- A \(2 x-3\), when \(1 < x < 2\)
- B \(3-2 x\), when \(x>2\)
- C \(2 x-3\), when \(x>2\)
- D \(3+2 x\), when \(1 < x < 2\)
Answer & Solution
Correct Answer
(C) \(2 x-3\), when \(x>2\)
Step-by-step Solution
Detailed explanation
\(f(x)=\left|x^2-3 x+2\right|\) \(\begin{aligned} & =|(x-1)(x-2)| \\ & =\left\{\begin{array}{l}(x-1)(x-2) ; x < 1 \text { and } x \geq 2 \\ -(x-1)(x-2) ; 1 \leq x < 2\end{array}\right.\end{aligned}\)…
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