IB Mathematics Analysis and Approaches Quiz
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CALCULUS
Question 1
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Given
f
(
x
)
=
∫
x
x
2
1
t
d
t
f(x) = \int_x^{x^2} \frac{1}{t} dt
f
(
x
)
=
∫
x
x
2
t
1
d
t
for
x
>
0
x>0
x
>
0
. Find
f
′
(
x
)
f'(x)
f
′
(
x
)
.
A
1
x
\frac{1}{x}
x
1
B
2
x
\frac{2}{x}
x
2
C
1
x
2
−
1
x
\frac{1}{x^2} - \frac{1}{x}
x
2
1
−
x
1
D
ln
(
x
)
\ln(x)
ln
(
x
)
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