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Calculus Section 2.3 The Product and Quotient Rules and Higher-Order Derivatives.

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Presentation on theme: "Calculus Section 2.3 The Product and Quotient Rules and Higher-Order Derivatives."— Presentation transcript:

1 Calculus Section 2.3 The Product and Quotient Rules and Higher-Order Derivatives

2 The Product Rule The product of two differentiable functions is differentiable. The first times the derivative of the second plus the second times the derivative of the first.

3 The Quotient Rule The quotient of two differentiable functions is differentiable at all values of x such that g(x) doesn’t equal zero.

4 Speak Like a Pirate: Calculus Lodhi minus hidlo, Square the denominator, And you’re good to go! -Kwo Shunt Ruel-

5 Speak Like A Pirate Day

6 Proof of The Derivative of Tangent

7 Derivatives of Trig Functions

8 Proof of The Other Three Now, prove the other three trigonometric functions: Textbook p. 125 # 81

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