Easy -2.5 This is a trivial single-step differentiation of a simple monomial using the power rule, worth only 1 mark with multiple choice format. It requires only direct recall of the most basic differentiation rule with no problem-solving, making it significantly easier than average A-level questions.
2 Given that \(y = 2 x ^ { 3 }\) find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\)
Circle your answer. [0pt]
[1 mark]
\(\frac { \mathrm { d } y } { \mathrm {~d} x } = 5 x ^ { 2 }\)
\(\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 x ^ { 2 }\)
\(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { x ^ { 4 } } { 2 }\)
\(\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 x ^ { 3 }\)
2 Given that $y = 2 x ^ { 3 }$ find $\frac { \mathrm { d } y } { \mathrm {~d} x }$\\
Circle your answer.\\[0pt]
[1 mark]\\
$\frac { \mathrm { d } y } { \mathrm {~d} x } = 5 x ^ { 2 }$\\
$\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 x ^ { 2 }$\\
$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { x ^ { 4 } } { 2 }$\\
$\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 x ^ { 3 }$
\hfill \mbox{\textit{AQA Paper 1 2023 Q2 [1]}}