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Find dervatives of the following functions: (i) `y=2x^(3)` , (ii) `y=4/x` , (iii) `y=3e^(x)` , (iv) `y=6 ln x` , (v) `y=5 sin x` |
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Answer» (i) `y=2x^(3)rArr (dy)/(dx)=2[3x^(3-1)]=6x^(2)` (ii) `y=4/x=4x^(-1)rArr (dy)/(dx)=4[(-1)x^(-1-1)]=-4/x^(2)` (iii) `y=3e^(x)rArr (dy)/(dx)=3e^(x)` (iv) `y=6 ln xrArr (dy)/(dx)=6(1/x)=6/x` (v) `y=5 sin xrArr (dy)/(dx)=5 (cos x)=5 cos x` |
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