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Question: Answered & Verified by Expert
The function $\mathrm{y}=f(x)=m x+c$ has $\quad$
MathematicsApplication of DerivativesNDANDA 2011 (Phase 2)
Options:
  • A maximum point but no minimum point
  • B minimumpoint but no maximum point
  • C both maximum and minimum points
  • D neither maximum point nor minimum point
Solution:
2828 Upvotes Verified Answer
The correct answer is: neither maximum point nor minimum point
Let $f(x)=m x+c$
then, $f^{\prime}(x)=m$
So, $f^{\prime}(x) \neq 0$ for any real value of $x$. Hence, $f(x)$ has neither maximum point nor minimum point.

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