If derivative of function is less than zero the fucntion _______
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Left hand derivative and right hand derivative of a function f(x) at a point x=a are defined as
f
′
(a
−
)=
h→0
+
lim
h
f(a)−f(a−h)
=
h→0
−
lim
h
f(a)−f(a−h)
=
x→a
+
lim
a−x
f(a)−f(x)
respectively
Let f be a twice differentiable function. We also know that derivative of an even function is odd function and derivative of an odd function is even function.
If f is odd, which of the following is Left-hand derivative of f at x=a
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