Grade 12 Math Ch 9-11
Grade 12
Math
Textbook
πSpecial Guide Bookπ
Chapter 9
Application of Differentiation (Pg. 169)
Notes (Slope, Tangent and Curve)
Chapter 9
Example 1, 2 & 3 (Pg. 170)
Example (Not Match)
Find the point at which a graph has a horizontal tangent.
Exercise 9.1
No. 1 & 2 (Pg. 172)
Exercise 9.1
No. 3 & 4 (Pg. 172)
9.3 Extreme Value of Functions
Critical Point or Turning Point or Stationary Point (Pg. 180)
9.4 First Derivative Test and Second Derivative Test for Local Extreme
Increasing and Decreasing Test
(Pg. 184)
Point of Inflection (Pg. 191)
Example (Not Match and not exact at all)
(Similar to Example 11 (Pg. 185), Show that the function (.......) is decreasing on the interval x<0 and increasing on the interval x>0.
(Similar to Example 13, Find the open interval, (Pg. 186)
Chapter 9
Example (Find the open interval)
No Match (Similar to Example 13 but not exact at all) (Pg. 186)
Almost Examples including Exercise 9.2 to 9.4 is needed to be complete.
Chapter 10
Method of Integration
Notes : Differentiation and Integration
10.1 Antiderivatives (Pg. 200)
Chapter 10
Example 2 (Pg. 202)
If there is no direct formula to integrate, follows must be done :
(1) Method of Transformation
(2) Substitution Method
(3) Integration by Parts
(4) Partial Fraction Method
Example 3 (Pg. 203)
Example 4 (Pg. 203) & 5 (Pg. 205)
Exercise 10.1
No. 1 (Pg. 205)
Exercise 10.2
No. 2 (Pg. 206)
10.2 Substitution Method (Pg. 206)
Example 7 (Pg. 208)
No. 1 (Pg. 209)
No. 2 & 3 (Pg. 209)
10.3 Integration by Parts
Example 8 (Pg. 210)
Example 8 (e, f) (Pg. 212)
Integration by Parts
Exercise (10.3)
No. 1 (Pg. 212)
10.4 Partial Fraction Method
(Pg. 212)
Example 9 (Pg. 212)
Example 10 & 11 (Pg. 213)
Example 12, 13 & 14 (Pg. 216)
Exercise 10.4 to be completed
Chapter 11
Application of Integrals
(Pg. 217)
Over All Explaining and Example 6 (Evaluate the Integral) (Pg. 222)
Example 7
Evaluate the Integral
(Pg. 223)
Exercise 11.1
No.7 (Pg. 224)
Exercise 11.1
No.8 & 9 (Pg. 224)
Evaluate the Integral
Example 10 & 11 (Pg. 228)
Find the area closed between graph and line
Area Between Two Curve (Pg. 229)
Example 12 (Pg. 230)
Example 13 (Pg. 231)
Steps for Solving Area Between Two Curves
Exercise 11.2
No. 1 (Pg. 231)
No.4, 5 & 6 (Pg. 233)
Volume Using Cross Section
(Pg. 236)
Exercise 11.3
No. 1 (Left) No. 2 & 3 (241)
Volume of Revolution by Slide Method and Washer Method (Left)
Volume of Revolution by Dics Method (Pg. 237) Example. 15
(No. 238) Example 16 (Pg. 239)
Exercise 11.3
No. 4 (Pg. 242)
Volume of Revolution by Washer Method (Pg. 240)
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