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Chapter3: Differentiation DERIVATIVES OF TRIGONOMETRIC FUNCTIONS: Chain Rule: Implicit diff. Derivative Product Rule Derivative Quotient RuleDerivative.

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Presentation on theme: "Chapter3: Differentiation DERIVATIVES OF TRIGONOMETRIC FUNCTIONS: Chain Rule: Implicit diff. Derivative Product Rule Derivative Quotient RuleDerivative."— Presentation transcript:

1 Chapter3: Differentiation DERIVATIVES OF TRIGONOMETRIC FUNCTIONS: Chain Rule: Implicit diff. Derivative Product Rule Derivative Quotient RuleDerivative of exponential

2 Chapter3: Differentiation 1)Direct: Find the g’(2) 2)Indirect: Find the slope…. 3)Find slope in different ways 4)Find 5)Find: lim 6)Find f’(x) 7)others Exam-2 Problems

3 Chapter3: Differentiation The slope of the tangent line The rate of change Exam-2 Problems

4 Chapter3: Differentiation

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8 Sec 3.7: Implicit Differentiation

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10 Chapter3: Differentiation

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12 Sec 3.7: Implicit Differentiation

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15 Chapter3: Differentiation

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19 1)Direct: Find the g’(2) 2)Indirect: Find the slope…. 3)Find slope in different ways 4)Find 5)Find: lim 6)Find f’(x) 7)others Exam-2 Problems (Sketch and find the slopes)

20 Sec 3.9: Inverse Trigonometric Functions

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22 Chapter3: Differentiation

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25 1)Direct: Find the g’(2) 2)Indirect: Find the slope…. 3)Find slope in different ways 4)Find 5)Find: lim 6)Find f’(x) 7)others Exam-2 Problems

26 Chapter3: Differentiation

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28 Sec 3.5: Derivatives Of Trigonometric Functions

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31 Chapter3: Differentiation 1)Direct: Find the g’(2) 2)Indirect: Find the slope…. 3)Find slope in different ways 4)Find 5)Find: lim 6)Find f’(x) 7)others Exam-2 Problems

32 Sec 3.5: Derivatives Of Trigonometric Functions

33 Chapter3: Differentiation

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36 1)Direct: Find the g’(2) 2)Indirect: Find the slope…. 3)Find slope in different ways 4)Find 5)Find: lim 6)Find f’(x) 7)others Exam-2 Problems

37 Chapter3: Differentiation

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39 TERM-121 Exam-2 Chapter3: Differentiation

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41 1)Direct: Find the g’(2) 2)Indirect: Find the slope…. 3)Find slope in different ways 4)Find 5)Find: lim 6)Find f’(x) 7)Others 1) linearization, 2) differential, 3) Related 4) rate, rate ofchange, 5) cont+diff, Exam-2 Problems

42 TERM-121 Exam-2 Chapter3: Differentiation

43 TERM-121 Exam-2 Chapter3: Differentiation

44 TERM-121 Exam-2

45 Chapter3: Differentiation

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53 Sec 3.11: Linearization and Differentials

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56 Example: F091 Sec 3.11: Linearization and Differentials

57 Example: F091 Sec 3.11: Linearization and Differentials

58 Example: F091 Sec 3.11: Linearization and Differentials

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