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Find the value of dy/dx if y=(1+sinx-cosx)÷(1+sinx+cosx).

Find the value of dy/dx if y=(1+sinx-cosx)÷(1+sinx+cosx).

Grade:12

1 Answers

Vikas TU
14148 Points
3 years ago
Dear Student,
y = (1 + sinx – cosx)/(1 + sinx + cosx)
y' = [(1 + sinx + cosx)(sinx + cosx) - (1 + sinx – cosx)(cosx – sinx)]/(1 + sinx + cosx)2
 = (2 + 2sinx)/(2 + 2sinx + 2cosx + 2sinxcosx)
 = (1 + sinx)/(1 + sinx)(1 + cosx)
 = 1/(1 + cosx)
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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