If a function has a second derivative at $x=C$ such that $f(C) =0,f"(C) > 0,$ then at $x = C, f(x)$
A. has local Maxima and local Minima
B. has local Minima
C. is absolute Maxima and absolute Minima
D. is either increasing or decreasing
Choose the correct answer from the options given below
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → B only
because, $f(c)=0,f''(c)>0$, then at $x=c$, $f(x)$ is local minima because these are the only conditions needed, to become a local minima.