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): `(a+b sin x)/(c+d cos x)` |
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Answer» Let `y=(a+b sin x)/(c+d cos x)` `(c+d cos x)(d)/(dx)(a+b sin x)` `(dy)/(dx)=(-(a+b sin x)(d)/(dx)(c+d cos x))/((c+d cos x)^(2))` `((c+d cos x )(b cos x)-(a+bsin x)(-dsinx))/((c+d cos x)^(2))` `(bc cos x+ad sin x+bd)(cos^(2)x+sin^(2)x))/((c+d cos x)^(2))` |
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