Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule.

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Presentation transcript:

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…..

Find the equation of the line tangent to

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

then D

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

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

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.