Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3.

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Presentation transcript:

Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3.

Homework Answers

The Product and Quotient Rules for Differentiation

Let’s start with the Product Rule… Leave the first alone Derivative of the second Derivative of the first Leave the second alone

Examples… Find the derivative, f’(x)

Examples… Find the derivative, y’

The Quotient Rule “low d high minus high d low over low low”

Examples… Find the derivative, f’(x)

Examples… Find the derivative, P’(t)

Examples… Find the derivative, dy/dx

Use the quotient rule to derive the formula for the derivative of y = tan(x) Use the quotient rule to derive the formula for the derivative of y = cot(x)

Use the quotient rule to derive the formula for the derivative of y = csc(x) Use the quotient rule to derive the formula for the derivative of y = sec(x)

Examples… Find the derivative, f’(x)

QUIZ MONDAY Homework worksheet (pg 124 – 125) #s 5, 6, 8, 15, 25, 35, 39, 43, 45, 50, 53, 62, 63, 66, 67