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Tardigrade
Question
Mathematics
If a differentiable function ' f ' satisfies the relation f(x+y)-f(x-y)=4 x y-10 y ∀ x, y ∈ R and f (1)=2, then find the number of points of non-derivability of g ( x )=|| f (| x |)|-(1/4)|.
Q. If a differentiable function '
f
' satisfies the relation
f
(
x
+
y
)
−
f
(
x
−
y
)
=
4
x
y
−
10
y
∀
x
,
y
∈
R
and
f
(
1
)
=
2
, then find the number of points of non-derivability of
g
(
x
)
=
∣∣
f
(
∣
x
∣
)
∣
∣
−
4
1
∣
∣
.
333
110
Continuity and Differentiability
Report Error
Answer:
0009
Solution:
f
(
x
)
=
x
2
−
5
x
+
6