Solving Simultaneous Equations and Calculus Derivatives

Published on October 15, 2026

Calculus

This problem involves solving simultaneous equations using factorization, calculating derivatives with the power rule and first principles, and evaluating limits by simplifying rational expressions.

Question

Answer

4.4 Simultaneous equations

Factor the second equation by grouping:
So or .
  • If : .
  • If : .

5.1 Derivatives

5.1.1
5.1.2

5.2 First principles,


5.3 Limit