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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
3
⋅
2
x
+
5
e
x
f(x)=3\cdot 2^{x}+5\,e^{x}
f
(
x
)
=
3
⋅
2
x
+
5
e
x
defined for all real
x
x
x
. a. (i) Find
f
′
(
x
)
f'(x)
f
′
(
x
)
. b. (ii) Find
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
. c. (iii) Hence, calculate
f
′
′
(
0
)
f''(0)
f
′′
(
0
)
.
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