y ln t2 4 12 arctan t over 2 Find Y in words y equals ln

y = ln (t^2 + 4) - 1/2 arctan t (over) 2 Find Y\'

in words (y equals ln (t squared plus 4) minus one half arctan t over 2

y = ln(t² + 4) - (1/2)tan^-1(t/2)

== > y\' = (1/(t² + 4))(2t) - (1/2) (1/(1 + (t/2)²))(1/2)

== > y\' = 2t/(t² + 4) - (1/4) (4/(4 + t²))

==> y\' = (2t - 1)/(t² + 4)

$y = ln (t^2 + 4) - 1/2 arctan t (over) 2 Find Y\' in words (y equals ln (t squared plus 4) minus one half arctan t over 2Solutiony = ln(t2 + 4) - (1/2)tan-1(t/2$

y ln t2 4 12 arctan t over 2 Find Y in words y equals ln

Solution

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