Piecewise Function Continuity Differentiability… | ExamDuo
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Chain Rule and Composite Functions
Hard
Piecewise Function Continuity Differentiability
If a function
f
(
x
)
defined by
f
(
x
)
=
{
a
e
x
+
b
e
−
x
,
−
1
≤
x
<
1
c
x
2
,
1
≤
x
≤
3
a
x
2
+
2
c
x
,
3
<
x
≤
4
be continuous for some
a
,
b
,
c
∈
R
and
f
′
(
0
)
+
f
′
(
2
)
=
e
,
then the value of
a
is :
Ask about this question
SELECT ONE OPTION
A
e
e
2
−
3
e
−
13
B
e
e
2
+
3
e
+
13
C
1
e
2
−
3
e
+
13
D
e
e
2
−
3
e
+
13
Check