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Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule

Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule. Limit Definition of the First Derivative. Symbols for the Derivative with Respect to x. Differentiation – the process of calculating derivatives. Polynomial Rule Product Rule Quotient Rule. If. THEN. Now try these….

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Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule

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  1. Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule

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

  3. Polynomial Rule • Product Rule • Quotient Rule

  4. If THEN

  5. Now try these…..

  6. Find the equation of the line tangent to

  7. where • F represents a function (first factor) • S represents a function (second factor)

  8. then D

  9. DIFFERENTIATE POSITION s(t) VELOCITY v(t) ACCELERATION a(t) INTEGRATE

  10. Given a) Find v(4) b) Find a(2)

  11. 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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