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If you’d like a pdf document containing the solutions the download tab above contains links to pdf’s containing the solutions for the full book, chapter and section.

Note that in the above examples, log diﬀerentiation is required. ( t) determine all the points where the object is not moving.

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G R QAXldlL pr FiVgAhItCs H Urreksaehruvue OdH. . Section 2 The product rule The product rule gives us a method of working out the derivative of a function which can be written as the product of functions.

derivative easier (allows you to avoid using multiple product and quotient rules) Use whenever you are trying to diﬀerentiate d dx f(x)g(x) – Examples: xx; x p x; (x2 +1) , etc.

f(t) = (7t – 12) (4t 3) 2. y = f(x), then the proportional ∆ x = y. For problems 4 – 10 differentiate the given function.

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Exercise 2 Consider the curve deﬁned by. Fortunately, rules have been discovered for nding derivatives of the most common functions. The rst rule we establish is the power rule.

Printable Math Worksheets @ www. . =2 y e x x 6. 5. . 3 1 2 f x x() x §· ¨¸ ©¹ 9.

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Find y′ y ′ by solving the equation for y and differentiating directly. f x x x( ) 3 2 5 1 12 10 2 4.

View MATH 22981 Week 5 Worksheet - Product and Quotient Rule.

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Understand the method using the quotient rule formula and derivations.