L3.pdf - DERIVATIVES IN USE 7.1 Implicit Differentiation...

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DERIVATIVES IN USE7.1 Implicit Differentiation Ex1) 5xy
Ex2) 32313yx y
Ex3) 23(1)2xx yyex. Compute yat (0,1) Ex6) Find yfor 32313yx yat (2,1)
7.2 Economic Examples Ex 1) 1) YCI2) ( )Cf Y. Find dydIand 22d ydI
7.3 Differentiating the Inverse Inverse Function 1( ), ( )( )g f xxgf xfxEx2) 53( )363f xxxxShow that fhas an inverse function g. Find (7)g
7.4 Linear Approximations The linear approximation to fabout x=ais ()( )( )()f Xf afaxaxclose to aEx1) Find the linear approximation to 3( )f xxaboutx= 1. Ex3) Find an approximate value for 50(1.001)
The Differential of a Function Ex4) a) ()ad AxBb) ( ( ))d f KEx5) (i) YCI(ii) ( )Cf Y
7.5 Polynomial Approximations The quadratic approximation to f(x)about x = ais 21()( )( )()( )()2f Xf af axafaxa

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