InterviewSolution
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InterviewSolution
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Find the derivative of the following functions (it is to be understand that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers): `(sinx+cosx)/(sin x-cos x)` |
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Answer» Let `y=(sin x+cos x)/(sin xj-cos x)` `rArr(dy)/(dx)=(d)/(dx)((sinx+cosx)/(sin x-cos x))` `(sin x-cos x)(d)/(dx)(sin x+cos s)` `=(-(sin x+cos x)(d)/(dx)(sin x-cos x))/((sin xj-cos x)^(2))` `(sin x-cos x)(cos x-sinx)` `(2sin x cos x-sin^(2)x-cos^(2)x)` `=(-(sin^(2)x+cos^(2)x+2sin x cos x))/((sin x-cos x)^(2))` `(-1-1)/((sin x-cos x)^(2))=(-2)/((xin x-cos x)^(2))` |
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