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If y=sin^(-1)(2^(x)),"then "dy/dx=...

If `y=sin^(-1)(2^(x)),"then "dy/dx=`

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The correct Answer is:
` (2^(x) log 2 )/(sqrt(1-(2^(2))^(2))`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-DIFFERENTIATION
  1. Differentiate y= sqrt(x^(2) +5) w.r. to x

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  2. Differentiate y = e^(tanx) w.r. to x

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  3. If y=sin^(-1)(2^(x)),"then "dy/dx=

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  4. If f (x) is odd and differentiable , then f'(x) is

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  5. If y=e^(1+logx)," then: "(dy)/(dx)

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  6. If y = log [cos (x^(5))] then find (dy)/(dx)

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  7. If y =sqrt (tan sqrt x ), then (dy)/(dx) =

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  8. Find the derivative of the inverse of functions y = 2x^(3) - 6x and ca...

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  9. Let f(x) = x^(5) +2x -3 " find " (f^(-1))'(-3)

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  10. If y = cos ^(-1) [sin (4^(x))], " find " (dy)/(dx)

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  11. If y = tan ^(-1) (sqrt((1+cos x)/(1-cos x))), " find " (dy)/(dx)

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  12. If x = sin theta, y = tan theta then find (dy)/(dx)

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  13. Differentiate sin ^(2) (sin ^(-1) (x^(2)) ) w.r. to x

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  14. If y=logsqrt((1-cos((3x)/(2)))/(1+cos ((3x)/(2)))),"then "dy/dx=

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  15. y = log [4^(2x) ((x^(2)+5)/(sqrt(2x^(3)-4)))^(3//2)], find (dy)/(dx)

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  16. Differentiate cot ^(-1) ((cos x )/(1 +sin x )) w.r. to x

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  17. Differentiate sin ^(-1) ((2 cos x + 3 sin x )/(sqrt(13))) w.r.to x

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  18. Differentiate tan ^(-1) ((8x)/(1-15x^(2))) w.r.to x

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  19. If log5 ((x^(4)+y^(4))/(x^(4)-y^(4))) =2, show that (dy)/(dx) = (12...

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  20. If y= sqrt(cos theta+sqrt(cos theta +sqrt(cos theta+......infty)))...

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