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  • Provide solution for RD Sharma maths class 12 chapter 17 Maxima and Minima exercise Very short answer type question 2

Provide solution for RD Sharma maths class 12 chapter 17 Maxima and Minima exercise Very short answer type question  2

Answers (1)

Answer:

        f^{\prime}(c)=0 \text { and } f^{\prime \prime}(c)<0

Solution:

 We know that at the extreme points of a function f(x), the first order derivation of the function is equal    to zero.        

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

Also at the point of local maximum, the second order derivative of the function at the given point must be less than zero, i.e.,

        f^{\prime \prime}(c)<0

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