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Standard XII
Mathematics
Derivative of Standard Functions
60. If f(0)=0...
Question
60. If f(0)=0,f'(0)=2 and y=f[f{f(x)}],then at x=0 find dy/dX
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Q.
If
y
=
(
f
(
f
(
x
)
)
)
3
,
f
(
0
)
=
0
and
f
′
(
0
)
=
2
,
then
(
d
y
d
x
)
x
=
0
is equal to
Q.
If
y
=
f
o
f
o
f
(
x
)
and
f
(
0
)
=
0
,
f
′
(
0
)
=
2
, then find
y
′
(
0
)
Q.
Let
f
′′
(
x
)
be continous at
x
=
0
.
If
lim
x
→
0
2
f
(
x
)
−
3
a
f
(
2
x
)
+
b
f
(
8
x
)
sin
2
x
exists and
f
(
0
)
≠
0
,
f
′
(
0
)
≠
0
, then
Q.
If
f
(
0
)
=
f
′
(
0
)
=
0
and
f
′′
(
X
)
=
tan
2
x
then
f
(
X
)
is
Q.
If
f
(
0
)
=
0
,
f
′
(
0
)
=
2
then the derivative of
y
=
f
(
f
(
f
(
f
(
x
)
)
)
)
at
x
=
0
is
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