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Home
Questions
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Target Exam
CUET
Subject
-- Mathematics - Section B1
Chapter
Applications of Derivatives
Question:
If \(x\) is real, the minimum value of \(x^{2}-8x+17\) is
Options:
\(-1\)
\(0\)
\(1\)
\(2\)
Correct Answer:
\(1\)
Explanation:
\(\begin{aligned}f^{\prime}(x)&=2x-8\\ f^{\prime}(x)&=0\\ x&=4\\ f^{\prime \prime}&=2>0\end{aligned}\hspace{8cm}\) Minimum value \(=16-32+17=1\)
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