CSCA MathematicsChapter 2: Functions, Derivatives & SequencesAdvanced
Derivatives: Tangent Lines, Extrema & Monotonicity
导数运算、切线方程与单调极值应用 · Node 2.4
Power rule, product/quotient rules, chain rule, tangent lines, critical points, and optimization.
Chapter Weight: 35% of official examination
Practice This NodeCore Mathematical Axiom
Formula Proof & TrapsCSCA Exam Trap Alert
Assuming $f'(x_0) = 0$ guarantees an extremum (counterexample: $f(x)=x^3$ at $x=0$).