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Find the derivative of the function (x.e...

Find the derivative of the function `(x.e^(x))` with respect 'x'.

Text Solution

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Let `y=x.e^(x)`
`rArr(dy)/(dx)=(d)/(dx)(x.e^(x))=x.(d)/(dx)e^(x)+e^(x).(d)/(dx).x`
`=x.e^(x)+e^(x).1=e^(x)(x+1)`.
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NAGEEN PRAKASHAN-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. Find the derivative of the function (x.e^(x)) with respect 'x'.

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  2. Find the derivative of the following functions from first principles:...

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  3. Find the derivative of the following functions (it is to be understand...

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  4. Find the derivative of the following functions (it is to be understand...

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  5. Find the derivative of the following functions (it is to be understand...

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  6. Find the derivative of the following functions (it is to be understand...

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  7. Find the derivative of the following functions (it is to be understand...

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  8. Find the derivative of the following functions (it is to be understand...

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  10. Find the derivative of the following functions (it is to be understand...

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  11. Find the derivative of the following functions (it is to be understand...

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