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): `x^(4)(5 sin x-3 cos x)` |
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Answer» Let `y=x^(4)(5sin x-3 cos x)` `rArr (dy)/(dx)=(d)/(dx)[x^(4)(5sin x-3 cos x)]` `=x^(4).(d)/(dx)(5 sin x-3 cos x)` `+(5 sin x-3 cos x)(d)/(dx)x^(4)` `=x^(4)(5 cos x+3 sinx)` `+4x^(3)(5sin x-3 cos x)` `=x^(3)(x (5 cos x+3 sin x)` `+4(5 sin x-3 cos x)` `=x^(3)(5x cos x +3x sin x+20 sin x-12 cos x)` |
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