TS EAMCET · Maths · Application of Derivatives
Let \(f: D \rightarrow R, D \subseteq R, c \in D\) and \(r\) be a non zero real number. Consider the following statements: Y. \(c\) is an extreme point of \(f \Rightarrow c\) is an extreme point of \(f f\) M. \(c\) is an extreme point of \(f \Rightarrow c\) is an extreme point of \(r+f\) Which of the following is correct?
- A Only (i) is true
- B Only (ii) is true
- C Both (i) and (ii) are true
- D Neither (i) nor (ii) is true
Answer & Solution
Correct Answer
(C) Both (i) and (ii) are true
Step-by-step Solution
Detailed explanation
I. Let the function \[ y=f(x) \] \(c\) is extreme point of \(f\) \[ \therefore \quad f^{\prime}(c)=0 \] Now, \(y=r f^{\prime}(x)\)…
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