Question

Find y' at x=π/4 if y = x tan x.​

Answer 1

Answer:

$\frac{ \pi}{4}$

Step-by-step explanation:

y=xtan x

$at \: x = \frac{\pi}{4}$

$y = \frac{\pi}{4} \times \tan( \frac{\pi}{4} )$

$or \: \: y = \frac{\pi}{4} \: \: \: \: \: \: { \: since \: \tan( \frac{\pi}{4} ) = 1}$

Answer 2

from product rule

y'= x.sec^2x + tanx.1

 =x(sec^2 (45)) + tan(45)

 = x(2) + 1

 = 2x+1

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