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Solution :
∴
h
is a composite function of two functions,
p
and
q
.
Solution :
Solution :
Question
9. Prove that the function f given by
is not differentiable at x = 1
Solution :
Since the left and right hand limits of
f
at
x
= 1 are not equal,
f
is not differentiable at
x
= 1
Question
10. Prove that the greatest integer function defined by f(x) = [x],0 < x < 3 is not differentiable at x = 1 and x = 2
Solution :
The given function
f
is f(x) = [x],0 < x < 3
It is known that a function
f
is differentiable at a point
x
=
c
in its domain if both
Since the left and right hand limits of
f
at
x
= 2 are not equal,
f
is not differentiable at
x
= 2
