1. DIFFERENTIATION BY : PN. DING HONG ENG SM SAINS ALAM SHAH, K.L. PROGRAM MKS ADDITIONAL MATHEMATICS

2. SPM PAST YEAR QUESTIONS

3. FORM 4 2 1 2 2 1 1 07 1 07 1 1 07 2 1 1 1 2 07 1 1 06 1 1 06 1 06 3 1 1 1 3 06 1 1 05 1 1 05 1 1 05 3 05 1 1 Index Number 11. 1 2 2 Differentiation 9. 1 1 1 1 Circular Measures 8. 1 04 04 1 1 04 1 03 C 1 03 B 03 04 03 A 2 1 Solution of Triangles 10. Statistics Coordinate Geometry Indices and Logarithms 7. 6. 5. 1 1 2 2 Paper 2 Paper 1 Topics

4. FORM 4 2 1 2 06 06 06 3 1 1 1 3 06 1 1 05 1 1 05 1 05 3 05 1 1 Index Number 11. 1 2 2 Differentiation 9. 1 1 1 1 Circular Measures 8. 1 04 04 1 1 04 1 03 C 1 03 B 03 04 03 A 2 1 Solution of Triangles 10. Statistics Geometry Coordinates Indices dan Logarithms 7. 6. 5. 1 1 2 2 Paper 2 Paper 1 Topics

5. DIFFERENTIATION The first derivative The second derivative Product Rule, Quotient Rule Differentiate Composite Function APPLICATION OF DIFFERENTIATION Gradient of a curve Gradient of tangent Gradient of normal Equation of tangent Equation of normal maximum and minimum value/point The rate of change Small changes and approximation Differentiate ax n Addition /Subtraction of algebraic terms

6. y=f(x) Q(x 2 , y 2 ) P(x 1 , y 1 ) 0 x 1 x 2 y 2 y 1 Gradient of chord = When point Q approaches point P (i.e x 2 x 1 ) Then When x 2 x 1 ,  x 0 Then y=f(x) Q(x 2 , y 2 ) P(x 1 , y 1 ) 0 x 1 x 2 y 2 y 1 Q 1 Q 2 CONCEPT OF DIFFERENTIATION

10. The Second Derivative

11. The gradient of the curve y= f(x) at a point is the derivative of y with respect to x, i.e. or f’(x). Application of Differentiation 1. The gradient of tangent at point A is the value of at point A. 2. (Gradient of normal) x ( gradient of tangen) = -1 3. x y tangent normal

16. SCORE A in Additional Mathematics

17. THANKS