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  • Need solution for RD Sharma maths class 12 chapter 17 Maxima and Minima exercise Very short answer type question 3

Need solution for RD Sharma maths class 12 chapter 17 Maxima and Minima exercise Very short answer type question  3

Answers (1)

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Answer:

        f^{\prime}(c)=0 \text { and } f^{\prime \prime}(c)>0
Solution:

 If f(x) attains a local minimum at x=c than the first order derivative of the function at the given point must be equal to zero, i.e.,

         \begin{aligned} &f^{\prime}(x)=0 \text { at } x=c \\\\ &f^{\prime}(c)=0 \end{aligned}

The second order derivative of the function at the given point must be greater than zero, i. e.,

        f^{w}(c)>0

 

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