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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^(2)+1)cos x` |
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Answer» Let `y=(x^(2)+1)cos x` `rArr (dy)/(dx)=(d)/(dx)[(x^(2)+1)cos x]` `=(x^(2)+1)(d)/(dx)cos x+cos x(d)/(dx)(x^(2)+1)` `=(x^(2)+1)(-sinx)+cos x(2x)` `=-(x^(2)+1)sin x+2x cos x` |
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