y=(1-sinx)/(1+ cos x) at x= (pi)/2
Find the derivative at the indicated point

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y=(1-sinx)/(1+ cos x) at x= (pi)/2
Find the derivative at the indicated point

Kavita Verma · Accepted Answer

Dear Student,

y = 1 - sin x1 + cos xdydx = 1 + cos xddx1 - sin x - 1 - sin xddx1 + cos x1 + cos x2dydx = 1 + cos x- cos x- 1 - sin x- sin x1 + cos x2dydx = - 1 + cos xcos x+ 1 - sin x sin x1 + cos x2dydx = sin x - sin2x - cos x - cos2x1 + cos x2dydx = sin x - cos x - sin2x + cos2x1 + cos x2dydx = sin x - cos x - 11 + cos x2dydx at x = π2= sin π2 - cos π2 - 11 + cos π22 = 0

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y=(1-sinx)/(1+ cos x) at x= (pi)/2 Find the derivative at the indicated point

y=(1-sinx)/(1+ cos x) at x= (pi)/2
Find the derivative at the indicated point