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Mathematics
Mathematics
Problem
A student works to find
f
′
(
x
)
f'(x)
f
′
(
x
)
for
f
(
x
)
=
x
3
f(x)=x^{3}
f
(
x
)
=
x
3
using the limit definition of the derivative. Which value should the student record for
f
′
(
x
)
f'(x)
f
′
(
x
)
after evaluating the limit? a)
3
x
3
3x^{3}
3
x
3
b)
3
x
2
3x^{2}
3
x
2
c)
x
2
x^{2}
x
2
d)
3
x
3x
3
x
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