[ x_n+1 = x_n - \fracf(x_n)f'(x_n) ]
Assuming you have 2 months before finals:
dydx=f(x)g(y)⟹∫1g(y)dy=∫f(x)dxd y over d x end-fraction equals f of x g of y ⟹ integral of 1 over g of y end-fraction d y equals integral of f of x d x STPM MATH T SEM 2 SYLLABUS BRIEFING (ENGLISH) stpm math t sem 2 notes
Differential equations are a fundamental concept in Mathematics T. Here are some key notes to remember:
Let us convert this syllabus into actionable study notes. [ x_n+1 = x_n - \fracf(x_n)f'(x_n) ] Assuming
Form: (a \fracd^2ydx^2 + b \fracdydx + c y = f(x))
This chapter establishes the analytical foundation for calculus by defining how functions behave as they approach specific points. Left-Hand and Right-Hand Limits Left-Hand and Right-Hand Limits [ \fracdydx = g(x)h(y)
[ \fracdydx = g(x)h(y) \quad \Rightarrow \quad \int \frac1h(y) dy = \int g(x) dx ]