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): `(ax^(2)+sinx)(p+q cosx)` |
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Answer» Let `y=(ax^(2)+sin x)(p+q cos x)` `rArr (dy)/(dx)=(d)/(dx)[(ax)^(2)+sinx)(p+q cos x)` `=(ax^(2)+sin x)(d)/(dx)(p+qcos x)` `+(p+q cos x)(d)/(dx)(ax^(2)+sin x)` `=(ax^(2)+sinx)(0-qsin x)` `+(p+q cos x)(d)/(dx)(ax^(2)+sinx)` `=-q sinx(ax^(2)+sinx)` `+(p+qcos x)(2ax+cos x)`. |
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