Notes - Stpm Math T Sem 2

Differentiation measures instantaneous rates of change and forms the backbone of engineering mathematics. Core Derivative Rules Quotient Rule:

Integration is the heart of STPM Math T Sem 2. Most exam questions (Section B & C) are integration-heavy. Your notes must contain , not just formulas. stpm math t sem 2 notes

| Function (f(x)) | Derivative (f'(x)) | |---|---| | (x^n) | (n x^n-1) | | (e^x) | (e^x) | | (a^x) | (a^x \ln a) | | (\ln x) | (1/x) | | (\sin x) | (\cos x) | | (\cos x) | (-\sin x) | | (\tan x) | (\sec^2 x) | | (\sec x) | (\sec x \tan x) | | (\csc x) | (-\csc x \cot x) | | (\cot x) | (-\csc^2 x) | Your notes must contain , not just formulas

– Solve homogeneous: (a m^2 + b m + c = 0) Your notes must contain

| Week | Focus | Note-taking Task | | :--- | :--- | :--- | | 1-2 | Differentiation (Implicit/Parametric) | Create a table of parametric derivatives | | 3-5 | Integration Techniques | Fill an entire notebook with substitution & by parts | | 6-7 | Differential Equations | Write 10 flowcharts for identifying ODE type | | 8 | Analytic Geometry | Draw 4 large diagrams of conic sections | | 9-10 | Past Year Papers & Error Log | Create an "Error Log" page (My mistake → Correct fix) |