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Find the derivative of the w.r.t.x a ...

Find the derivative of the w.r.t.x
` a ^(x) e ^(x)`

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The correct Answer is:
`a ^(x) e ^(2x)`
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AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.6 (SHORT TYPE ANSWER QUESTIONS )
  1. Find the derivative of the w.r.t.x (ac + b )^(n ) (cx + d) ^(n)

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  2. Find the derivative of the w.r.t.x (4 + x ^(2)) e ^(2x)

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  3. Find the derivative of the w.r.t.x a ^(x) e ^(x)

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  4. Find the derivative of the w.r.t.x e ^(x) (x - (1)/(x)) ^(3)

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  5. Find the derivative of the w.r.t.x ax ^(2n) log x + b x ^(n) e ^(-x)

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  6. Find the derivative of e ^(- ax ^(2)) .sin (x log x ) w.r.t.x

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  7. Find the derivative of the w.r.t.x e ^(2x) log (3x +4)

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  8. Find the derivative of the w.r.t.x sin mx.cos nx

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  9. Find the derivative of log((x^(2)+x+2)/(x^(2)-x+2)) w.r.to x.

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  10. Find the derivative of the w.r.t.x x ^(n) n ^(x) log nx

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  11. Find the derivative of the w.r.t.x x log x log (log x)

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  12. Find the derivative of the w.r.t.x x ^(2) e ^(x) sin x

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  13. Find the derivative of the w.r.t.x sqrt ((1+ x ^(2))/(1 - x ^(2)))

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  14. Find the derivative of the w.r.t.x (sin (x +a ))/( cos x )

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  15. Find the derivative of the w.r.t.x (sin (ax +b ))/( cos (cx +d ))

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  16. Find the derivative of the w.r.t.x (x cos x )/( sqrt (1+ x ^(2)))

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  17. Find the derivative of the w.r.t.x (x (1+ x ^(2)))/( sqrt (1- x ^(2)...

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  18. Find the derivative of the w.r.t.x (1- cos 2x)/( 1 + cos 2x)

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  19. Find the derivative of the w.r.t.x log [(sin (log x ) + x log x log ...

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  20. Find the derivative of the w.r.t.x sqrt (cos sqrtx)

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