InterviewSolution
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InterviewSolution
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Find derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): `(a+bsinx)/(c+dcosx)` |
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Answer» Let `y=(a+bsinx)/(c+dcosx)` `therefore (dy)/(dx) = ((c+dcosx)d/(dx)(a+bsinx)-(a+bsinx)d/(dx)(c+dcosx))/(c+d cosx)^(2)` ["by quotinet rule"] `=((c+dcosx)(bcosx)-(a+bsinx)-(-dsinx))/(c+dcosx)^(2)` `=((bc cosx+adsinx+bd(cos^(2)x+sin^(2)x))/(c+dcosx)^(2))` `(bc cosx + adsinx+bd)/(c+dcosx)^(2)` `(bccosx+adsinx+bd)/(c+dcosx)^(2)` |
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