let f(x) have second order derivative at c such that f'(c)=0 and f"(c)>0, then c is a point of
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Answer:
Local Minima
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Given : f(x) have second order derivate at c such that f'(c)=0 and f"(c)>0
To Find : c is a point of
inflexion
local maxima
local minima
None of these
Solution:
f(x) is any function
f'(c) = 0
f''(c) > 0
hence c is a point of Local Minima
f(x) is any function
f'(c) = 0
f''(c) < 0
hence c is a point of Local Maxima
Local Minima is correct answer
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