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If y= e^(x^(2) sin ^(2) x + cos ^(2) x...

If ` y= e^(x^(2) sin ^(2) x + cos ^(2) x) ,then (dy)/(dx) =`

A

` (2 xsin ^(2) x -(x-1) sin 2x ) e^(x^(2) sin ^(2) x+cos ^(2)x) `

B

` (2 xsin ^(2) x + (x-1) sin 2x ) e^(x^(2) sin ^(2) x+cos ^(2)x) `

C

` (2 xsin ^(2) x - (x^(2) -1) sin 2x ) e^(x^(2) sin ^(2) x+cos ^(2)x) `

D

` (2 xsin ^(2) x + (x^(2) -1) sin 2x ) e^(x^(2) sin ^(2) x+cos ^(2)x) `

Text Solution

Verified by Experts

The correct Answer is:
D
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