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Differentiate the following : y = ( ...

Differentiate the following :
` y = ( x^(3x))/( 1 + e ^(x))`

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The correct Answer is:
` ( 3 e ^( 3 x) + 2 e ^(4 x))/( ( 1 + e^(x))^(2))`
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NCERT TAMIL-DIFFERENTIAL CALCULUS-DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION -EXERCISE 10.3
  1. Differentiate the following : y = e^(-mx)

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  2. Differentiate the following : y = 4 sec 5 x

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  3. Differentiate the following : y = ( 2 x - 5 )^(4) ( 8 x ^(2) - 5 )...

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  4. Differentiate the following : y = ( x^(2) + 1) 3 sqrt( x^(2) + 2)

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  5. Differentiate the following : y = x e ^(-x^(2))

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  6. Differentiate the following : s (t) = 4 sqrt(( t ^(3) + 1)/( t^(3)...

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  7. Differentiate the following : f (x) = (x)/( sqrt( 7 - 3 x))

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  8. Differentiate the following : y = tan ( cos x)

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  9. Differentiate the following : y = ( sin^(2) x)/( cos x)

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  10. Differentiate the following : y = 5 ^((-1)/(x))

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  11. Differentiate the following : y = sqrt(1 + 2 ytan x)

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  12. Differentiate the following : y = sin ^(3) x + cos ^(3) x

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  13. Differentiate the following : y = sin ^(2) ( cos kx)

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  14. Differentiate the following : y = (1 + cos ^(2) x) ^(6)

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  15. Differentiate the following : y = ( x^(3x))/( 1 + e ^(x))

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  16. Differentiate the following : y = sqrt( x + sqrt(x))

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  17. Differentiate the following : y = e ^(x cos x)

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  18. Differentiate the following : y = sqrt( x + sqrt(x + sqrt(x)))

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  19. Differentiate the following : y = sin ( tan ( sqrt(sin x)))

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  20. Differentiate the following : y = sin ^(-1) ((1 - x^(2))/(1 + x^(...

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