AP EAMCET · Maths · Differentiation
If \(f(x)=|x-5|+|x+5|+|x-4|+|x+4|\), then \(\frac{f^{\prime}(1)-f^{\prime}(-6)}{f^{\prime}(-1)+f^{\prime}(6)}=\)
- A \(1\)
- B \(0\)
- C \(4 / 5\)
- D \(3 / 2\)
Answer & Solution
Correct Answer
(A) \(1\)
Step-by-step Solution
Detailed explanation
Given the function \(\begin{aligned} & f(x)=|x-5|+|x+5|+|x-4|+|x+4| \\ & =\left\{\begin{array}{cc} -4 x & x \leq-5 \\ -2 x+10 & -5 < x \leq-4 \\ 18 & -4 < x \leq 4 \\ 2 x+10 & 4 < x \leq 5 \\ 4 x & 5 < x \end{array}\right. \end{aligned}\) Now…
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