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Unformatted text preview: h'(x) = [f'(x)g(x)g'(x)f(x) ]/(g(x))^2 Ex: h(x)=(x+1)/(x^78x) Lecture 3.3: Product and Quotient Rules New Section 1 Page 1 The Chain Rule If f(x) and g(x) are two functions, then the function h(x)=f(g(x)) has derivative h'(x) = f'(g(x))g'(x) Ex: Compute the derivative of h(x)=2^(7x^2+x) The Chain Rule may need to be used more than once: Ex: Compute the derivative of h(x)=2^[(x+2)^3] New Section 1 Page 2 You may need to use several rules: Ex: Compute the derivative of h(x)=(e^x+2)^3 New Section 1 Page 3 New Section 1 Page 4 New Section 1 Page 5...
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 Summer '06
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