Function Composition Derivative Relation (Jee M… | ExamDuo
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Chain Rule and Composite Functions
Hard
Function Composition Derivative Relation
Let
f
(
x
)
=
log
e
(
sin
x
)
,
(
0
<
x
<
π
)
g
(
x
)
=
sin
−
1
(
e
−
x
)
,
(
x
≥
0
)
.if
α
is a positive real number such that a
a
=
(
f
o
g
)
′
(
α
)
b
=
(
f
o
g
)
(
α
)
,then:
Ask about this question
SELECT ONE OPTION
A
a
α
2
−
b
α
−
a
=
0
B
a
α
2
+
b
α
−
a
=
−
2
α
2
C
a
α
2
+
b
α
+
a
=
0
D
a
α
2
−
b
α
−
a
=
1
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