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# 5- Implicit Differentiation

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Department
Mathematics
Course
MAT135H1
Professor
All Professors
Semester
Summer

Description
Implicit  Differentiation     Knowledge  Summary:     Implicit  differentiation  is  nothing  more  than  a  special  case  of  the  well -­‐known  chain  rule  for   derivatives.  The  majority  of  differentiation  problems  involve  functions  y  written  explicitly  as   functions  of  x.   Formal  definition:  A  relation  F(x,  y)=  0  is  said  to  define  the  function  y=  f(x)  implicitly  if,  for  x  in  the   domain  of  f,  F(x,  f(x))=  0     Past  Test  Questions:       1)  Nov’  08,  #4   Assume  that  y  is  a  function  of  x  .  Find  y'  =  dy/dx  for  x  +  y  =  4  .   3 3
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