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Differentiate sqrt(((x-3)(x^(2)+4))/((3x...

Differentiate `sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5)))`.

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The correct Answer is:
`y/2 ((1)/( x -3) + (2x)/(x ^(2) + 4) - ( 6x + 4)/( 3x ^(2) + 4x + 5))`
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AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.5
  1. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

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  2. If ax ^(2) + 2 hxy + by ^(2) =0 then (dy )/(dx) =

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  3. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

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  4. Find the derivative of x^(4) + y^(4) - a^(2) xy = 0 w.r.to x

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  5. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

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  6. Find the derivative of the w.r.to x. (2x + 3) ^(x-5)

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  7. Find the derivative of the w.r.to x. x ^(x ^(x))

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  8. Find the derivative of the w.r.to x. (x ^(x)) x

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  9. Find the derivative of the w.r.to x. x ^(x sqrtx)

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  10. Find the derivative of the w.r.to x. (log x) ^( tan x )

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  11. Find the derivative of the w.r.to x. (tan x)^( sin x)

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  12. Find the derivative of the w.r.to x. x ^(x) + e ^(e ^(x))

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  13. Find the derivative of the w.r.to x. x ^(x) + (cot x) ^(x)

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  14. Find the derivative of the w.r.to x. (sin x ) ^(x) + x ^( sin x)

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  15. Find the derivative of the w.r.to x. (sin x ) ^(log x) + x ^( sin x)

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  16. Find the derivative of the w.r.to x. x ^(tan x ) + (sin x ) ^( cos x)

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  17. Find (dy)/(dx) for the function (using logarithms). y = (x ^(3) sqrt...

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  18. Find (dy)/(dx) for the function (using logarithms). y = ((a - x ) ^(...

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  19. Find (dy)/(dx) for the function (using logarithms). y= ( x ^(4) (x ^...

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  20. Differentiate sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5))).

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