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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
4
+
5
x
f(x)=x^{4}+5x
f
(
x
)
=
x
4
+
5
x
for all real
x
x
x
. a. (a) Derive an expression for
f
′
(
x
)
f'(x)
f
′
(
x
)
valid for every real
x
x
x
. b. (b) State the domain of
f
′
(
x
)
f'(x)
f
′
(
x
)
and justify your answer briefly. c. (c) Evaluate
f
′
(
−
1
)
f'(-1)
f
′
(
−
1
)
.
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