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 = at^{2} and y = 2 at
Find
Solution : x = at^{2}
= 2 at and y = 2 at
= 2a
=
=
=
Example 66 If
=
and
y =
=
=
=
=
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