IB Mathematics Analysis and Approaches Quiz
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CALCULUS
Question 1
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The gradient of a curve is given by
f
′
(
x
)
=
e
x
/
2
−
2
x
f'(x) = e^{x/2} - 2x
f
′
(
x
)
=
e
x
/2
−
2
x
. The curve passes through the point
(
0
,
5
)
(0, 5)
(
0
,
5
)
. Find the equation of the curve.
A
y
=
e
x
/
2
−
x
2
+
4
y = e^{x/2} - x^2 + 4
y
=
e
x
/2
−
x
2
+
4
B
y
=
2
e
x
/
2
−
x
2
+
3
y = 2e^{x/2} - x^2 + 3
y
=
2
e
x
/2
−
x
2
+
3
C
y
=
1
2
e
x
/
2
−
x
2
+
9
2
y = \frac{1}{2}e^{x/2} - x^2 + \frac{9}{2}
y
=
2
1
e
x
/2
−
x
2
+
2
9
D
y
=
2
e
x
/
2
−
x
2
−
3
y = 2e^{x/2} - x^2 - 3
y
=
2
e
x
/2
−
x
2
−
3
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