Let f(x)=
and
g(x)=|f(x)|+f(|x|). Then, in the interval (−2, 2), g is
(a)
Differentiable at all points
(b)
Not differentiable at two points
(c)
Not continuous
(d)
Not differentiable at one point
Let f(x)= and
g(x)=|f(x)|+f(|x|). Then, in the interval (−2, 2), g is
(a)
Differentiable at all points
(b)
Not differentiable at two points
(c)
Not continuous
(d)
Not differentiable at one point
Question ID - 56972 | SaraNextGen Top Answer
Let f(x)= and
g(x)=|f(x)|+f(|x|). Then, in the interval (−2, 2), g is
(a)
Differentiable at all points
(b)
Not differentiable at two points
(c)
Not continuous
(d)
Not differentiable at one point
|
Let f(x)= g(x)=|f(x)|+f(|x|). Then, in the interval (−2, 2), g is |
|||
|
(a) |
Differentiable at all points |
(b) |
Not differentiable at two points |
|
(c) |
Not continuous |
(d) |
Not differentiable at one point |
1 Answer
127 votes
Answer Key / Explanation : (d) -
|f(x)|=
And f(|x|)=x2−1, x∈[−2, 2]
Hence g(x)=
t is not differentiable at x=1
127 votes
Answer Link
127