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

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

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The correct Answer is:
`x ^(2)`
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AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.6 (SHORT TYPE ANSWER QUESTIONS )
  1. Find the derivative of the w.r.t.x x ^(n) n ^(x) log nx

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

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

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

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

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

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

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

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

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

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

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  12. Find the derivative of the w.r.t.x log (( sqrt (e ^(x) +1 )-1)/( sqr...

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  13. Differentiate the w.r.t.x: e ^(sin ^(-1) x)

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  14. Differentiate the following w.r.t. x : sin (tan^(-1) e^(-x))

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  15. Differentiate the following w.r.t. x : (cos x)/(log x), x gt 0.

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  16. Tan ^(-1) ((1 - x )/( 1 +x ))

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  17. Tan ^(-1) (sqrt((1- x )/( 1 +x ))) (where |x| lt 1)

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  18. Find the derivative of Tan^(-1) sqrt((1-cos x)/(1+cos x))

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  19. Tan ^(-1) (sqrt ((1 - sin x )/( 1 + sin x )))

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  20. Tan ^(-1) ((a -x)/( 1 + ax) )

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