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If F(X) Attains a Local Minimum at X=C, Then Write the Values of F' (C) and F'' (C). - Mathematics

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Question

If f(x) attains a local minimum at x = c, then write the values of `f' (c)` and `f'' (c)`.

Sum
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Solution

If f(x) attains a local minimum at x = c, then the first order derivative of the function at the given point must be equal to zero, i.e.
`f'(x) = 0" at "x = c`

`⇒ f '(c) = 0`
The second order derivative of the function at the given point must be greater than zero, i.e.
`f''(c) > 0`
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Chapter 18: Maxima and Minima - Exercise 18.6 [Page 80]

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RD Sharma Mathematics [English] Class 12
Chapter 18 Maxima and Minima
Exercise 18.6 | Q 3 | Page 80

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