| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2022 |
| Session | January |
| Marks | 4 |
| Topic | Chain Rule |
| Type | Second derivative and nature determination |
| Difficulty | Easy -1.2 This is a straightforward differentiation exercise requiring only basic power rule application (rewriting 1/x² as x^(-2)) and differentiating twice. No chain rule is actually needed despite the topic label, and it's purely mechanical recall with no problem-solving element, making it easier than average. |
| Spec | 1.07i Differentiate x^n: for rational n and sums |
2. A curve has equation $y = 16 x + \frac { 1 } { x ^ { 2 } }$. Find\\
(A) $\frac { \mathrm { d } y } { \mathrm {~d} x }$,\\
(B) $\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }$.\\[0pt]
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\hfill \mbox{\textit{SPS SPS SM 2022 Q2 [4]}}