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Unformatted text preview: • First • Prev • Next • Last • Go Back • Full Screen • Close • Quit Review of Calculus: some examples and problems September 11, 2008 • First • Prev • Next • Last • Go Back • Full Screen • Close • Quit • Name: WANG Wenjie ( © # ) • Office: Room 3474 , Desk 4 • E-mail: wjwang@ust.hk • Office Hours: Tuesday , 4:00pm-6:00pm • Tel: 23350839 or 63718858 • First • Prev • Next • Last • Go Back • Full Screen • Close • Quit In calculus , Nothing can be easer than taking the derivative of a given function. Here we only emphasize the importance of chain rule for the derivative of the composition of two functions, and the higher order derivatives. We look at some basic problems below. • 1. Find the derivative of the function y = x 1 x . • 2. Given the function y = f (ln x ) , where f is a differentiable function, compute the derivatives y and y 00 . • 3. Suppose y = f ( x ) has the inverse function x = f- 1 ( y ) , and both are differentiable , then use the chain rule to find ( f- 1 ) and ( f- 1 ) 00 . • First...
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ode01 - • First • Prev • Next • Last • Go Back...

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