Q.NO.23 *
dy
If y= e* Sin x then
A) e* (Sec? + tan x)
C) e* (Cos x – Sin x)
B) e* (Cos x + Sin x)
D)

1 thought on “Q.NO.23 *<br />dy<br />If y= e* Sin x then<br />A) e* (Sec? + tan x)<br />C) e* (Cos x – Sin x)<br />B) e* (Cos x + Sin x)<br />D)”

1. Answer

   Correct option is

   A

   e

   x

   (sinx+cosx)

   Given that

   y=e

   x

   .sinx

   On differentiating, we get

   dx

   dy

   =sinx

   dx

   d

   e

   x

   +e

   x

   dx

   d

   sinx

   dx

   dy

   =sinxe

   x

   +e

   x

   cosx

   ∴

   dx

   dy

   =e

   x

   (sinx+cosx)

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