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Tardigrade
Question
Mathematics
Let f ( x )= sin x ; g ( x )= x 2 h ( x )= log e x F ( x )= h [ g ( f ( x ))] then ( d 2 F / dx 2) is equal to -
Q. Let
f
(
x
)
=
sin
x
;
g
(
x
)
=
x
2
&
h
(
x
)
=
lo
g
e
x
&
F
(
x
)
=
h
[
g
(
f
(
x
))]
then
d
x
2
d
2
F
is equal to -
155
181
Continuity and Differentiability
Report Error
A
2
cosec
3
x
B
2
cot
(
x
2
)
−
4
x
2
cosec
2
(
x
2
)
C
2
x
cot
x
2
D
−
2
cosec
2
x
Solution:
Correct answer is (d)
−
2
cosec
2
x