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Find the derivative of (1 - xsqrt(x))/(1...

Find the derivative of `(1 - xsqrt(x))/(1+xsqrt(x)), (x > 0)`

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The correct Answer is:
`(- 3 sqrtx)/((1+ x sqrtx) ^(2)) `
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AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.2
  1. Find the derivative of the function e ^(ln (cot x )) + ln (e ^(x ^(2)...

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  2. Find the derivative of the function 2 ^(log (2) sec x)+ log (3) (27^(...

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  3. Find the derivative of the function e ^(x) (x ^(2) + 1 )

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  4. Find the derivative of the function 5 sin x + log gx

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  5. Find the derivative of the function e ^(x) + sin x.cos x

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  6. Find the derivative of the function 5 ^(x) + log x + x ^(3) e ^(x)

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  7. Find the derivative of the function e ^(2x) log x ( x gt 0)

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  8. Find the derivative of the function x.e^(x) sin x

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  9. Find the derivative of the function x ^(2) 2 log x (x gt 0)

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  10. Find the derivative of the function (a-x)/(a +x)

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  11. Find the derivative of y = (ax + b)/(cx + d),[|c| + |d| != 0]

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  12. Find the derivative of the function (cos x )/( sin x + cos x)

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  13. Find the derivative of (1 - xsqrt(x))/(1+xsqrt(x)), (x > 0)

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  14. Find the derivative of the function (px ^(2) + qx +r)

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  15. Find the derivative of the function (sin r )/(x)

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  16. Find the derivative of the function (8^(x))/(x ^(8))

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  17. Find the derivative of the function (a-b cos x)/(a +b cos x)

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  18. Find the derivative of the function (sin x )/( 1+ cos x)

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  19. If f(x)=1+x+x^(2)+…………+x^(100), then find f'(1).

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  20. If f(x)=2x^2+3x+5, then prove that f'(0)+3f'(-1)=0

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