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Papers 1 and 2 · Pure
7.5 Differentiation
Question 1 · 7 marks
Calculator allowed
Spec and skills
Paper scope: Pure 1/2
Spec P7.5
Original practice question
The curve
C
C
C
has equation
x
2
+
3
x
y
−
y
2
=
27
x^2 + 3xy - y^2 = 27
x
2
+
3
x
y
−
y
2
=
27
.
(a)
Find
d
y
d
x
\frac{dy}{dx}
d
x
d
y
in terms of
x
x
x
and
y
y
y
.
4 marks
x
y
xⁿ
a/b
√
π
(
)