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4.14 Derivatives of Functions In Parametric Form

THEOREM : If x = f ( t ) and y = y ( t ) are two derivable functions of t such that y is defined as a function of x, then

=

Example 65 If x = at2 and y = 2 at     Find

Solution :  x  = at2

= 2 at and y = 2 at

  = 2a

     =

 =

  =

Example 66 If


          =

             and y =

          =

          =

  =

  =

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Index

4. 1 Derivability At A Point
4. 2 Derivability In An Interval
4. 3 Derivability And Continuity Of A Function At A Point
4. 4 Some Counter Examples

4. 5 Interpretation Of Derivatives
4. 6 Theorems On Derivatives (differentiation Rules)
4. 7 Derivatives Of Standard Functions
4. 8 Derivative Of A Composite Function
4. 9 Differentiation Of Implicit Functions

4.10 Derivative Of An Inverse Function
4.11 Derivatives Of Inverse Trigonometric Functions
4.12 Derivatives Of Exponential & Logarithmic Functions
4.13 Logarithmic Differentiation
4.14 Derivatives Of Functions In Parametric Form
4.15 Higher order Derivatives

Chapter 5





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