Unformatted text preview: x not equal to z that f ( x ) − z < x − z . 4. Consider the equation f ( x ) = and suppose that z is a solution. Show that z is a fixed point of the function g ( x ) = x − f ( x ) ′ f ( x ) . 5. Compute the derivative of g ( x ) = x − f ( x ) ′ f ( x ) . What is the value of ′ g ( z ) ?...
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 Summer '08
 Kyung
 Calculus, Statistics, Derivative, Mean Value Theorem, Continuous function

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