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Integration as Antiderivative

If y= logta...

Question

If $y = log tan x,$ find $d y / d x$ . at $x = π / 4$

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Solution

$y = log tan x$
$\Rightarrow \frac{d y}{d x} = \frac{1}{tan x} . {sec}^{2} x = 2 c o sec 2 x .$
$∴$ at $x = \frac{π}{4}$ , $\frac{d y}{d x} = 2$

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