AQA Paper 3 2021 June — Question 2

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2021
SessionJune
TopicDifferentiation Applications
TypeFind derivative of polynomial

2 Simplify fully $$\frac { ( x + 3 ) ( 6 - 2 x ) } { ( x - 3 ) ( 3 + x ) } \quad \text { for } x \neq \pm 3$$ Circle your answer.
-2
2
\(\frac { ( 6 - 2 x ) } { ( x - 3 ) }\)
\(\frac { ( 2 x - 6 ) } { ( x - 3 ) }\)
\(3 \mathrm { f } ( x ) = 3 x ^ { 2 }\)
Obtain \(\lim _ { h \rightarrow 0 } \frac { \mathrm { f } ( x + h ) - \mathrm { f } ( x ) } { h }\)
Circle your answer. $$\frac { 3 h ^ { 2 } } { h } \quad x ^ { 3 } \quad \frac { 3 ( x + h ) ^ { 2 } - 3 x ^ { 2 } } { h } \quad 6 x$$