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Find the derivative of the function sin...

Find the derivative of the function
`sin x (tan ^(-1) x) ^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`=(2sinxtan^(-1)x)/(l+x^(2))+cosx.(Tan^(-1)x)^(2)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIATION-Exercise-9(b)
  1. Find the derivatives of the following function. y=cos(logx+e^(x))

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  2. Find the derivatives of the following function. y=(sin(x+a))/(cosx)

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  3. Find the derivatives of the function cot ^(-1) (cosec 3x )

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  4. Find the derivatives of the following functions. x=sinh^(2)y

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  5. Find the derivatives of the following functions. x=tanh^(2)y

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  6. Find the derivatives of the following functions. x=e^(sinh y)

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  7. Find the derivatives of the following functions. x=tan(e^(-y))

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  8. Find the derivatives of the function If x = log (1 + sin ^(2)y ) show...

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  9. Find the derivatives of the function If x = log (1 + sqrty), then sh...

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  10. Find the derivative of v = cos [log(cotx)]

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  11. Find derivative y=sinh^(-1)((1-x)/(1+x)).

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  12. Find the derivative of w.r.to x log (cot ( 1 - x ^(2)))

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  13. Find the derivatives of the following functions. y=sin[cos (x^(2))]

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  14. Find the derivative of the function wrt x. sin (tan ^(-1) (e ^(-x)))

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  15. Integrate the functions sin(ax+b)cos(ax+b)

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  16. Find the derivatives of the following functions. y=tan^(-1)(tanh.(x...

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  17. Find the derivative of the function sin x (tan ^(-1) x) ^(2)

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  18. Find the derivative of Sin^(-1)((b+asinx)/(a+bsinx)) w.r. to x.

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  19. Find the derivatives of the function cos ^(-1) (( b + a cos x )/( a ...

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  20. Find the derivatives of the following functions. tan^(-1)[(cosx)/(l...

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