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Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule.

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Presentation on theme: "Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule."— Presentation transcript:

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2 Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule

3 Limit Definition of the First Derivative Symbols for the Derivative with Respect to x Differentiation – the process of calculating derivatives

4 Polynomial Rule Product Rule Quotient Rule

5 If THEN

6 Now try these…..

7 Find the equation of the line tangent to

8 where F represents a function (first factor) S represents a function (second factor)

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10 then D

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15 POSITION s(t) VELOCITY v(t) ACCELERATION a(t) DIFFERENTIATEDIFFERENTIATE INTEGRATEINTEGRATE

16 Given a) Find v(4) b) Find a(2)

17 Given a) Find the initial velocity of the object. Initial velocity is the velocity at t = 0. b) Find the value of the acceleration at t = 2.


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