| Exam Board | SPS |
|---|---|
| Module | SPS SM Pure (SPS SM Pure) |
| Year | 2020 |
| Session | February |
| Marks | 4 |
| Topic | Differentiation from First Principles |
| Type | First principles: reciprocal function |
| Difficulty | Moderate -0.5 This is a standard first principles differentiation of a simple reciprocal function, requiring algebraic manipulation of fractions and taking a limit. While it involves more steps than differentiating a polynomial, it's a textbook exercise that follows a well-practiced method with no novel problem-solving required, making it slightly easier than average. |
| Spec | 1.07g Differentiation from first principles: for small positive integer powers of x |
8 Differentiate from first principles
$$y = \frac { 1 } { x }$$
\hfill \mbox{\textit{SPS SPS SM Pure 2020 Q8 [4]}}