The Product and Quotient Rules for Differentiation.

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Presentation transcript:

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

Examples: Find the derivative of each.

Examples… Find the derivative, f ’(x)

Given f(3) = -2, g(3) = 4, f ’(3)=5, g’(3) = 7 Find h’(3) if …. h(x) = f(x) + g(x) h(x) = f(x) g(x)

Use trig identities to determine the derivative of y = tan (x). Use trig identities to determine the derivative of y = cot (x).

Determine the derivative of

Mixed Practice Determine the derivative of each of the following.