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If `x=asec^3theta a nd y=atan^3theta,find (dy)/(dx) theta=pi/3dot`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find dy/dx when x=a (theta + sin theta), y = a(1 + cos theta)

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  2. Find dy/dx at t = pi/4, when x = 2 cos 2t and y = 2 sin t - sin 2t

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  3. If x=asec^3theta a nd y=atan^3theta,find (dy)/(dx) theta=...

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  4. Find dy/dx at t = 2 when x = (2bt)/(1+t^2) and y = (a(1-t^2))/(1+t^2...

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  5. Find dy/dx when x = 2t/(1+ t^2) and y = (1- t^2)/(1+ t^2)

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  6. Differentiate the following functions: sin x^3 w.r.t.x^3

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  7. Differentiate the following functions: (sinx)/(1+cosx) w.r.t.x/2

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  8. Differentiate the following functions: sin x^2 w.r.t x^2

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  9. Differentiate the following functions: (x^2)/(x^2+1) w.r.t. x^2

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  10. Differentiate the following functions: cot^3 (2x+1) w.r.t.x^2 +1

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  11. Differentiate the following functions: x/(sinx) w.r.t sin x.

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  12. If x = (1+logt)/t^2, y = (3+2logt)/t, t > 0, prove that y(dy/dx) - 2x(...

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  13. If x = 3 cos t - 2 cos^3 t and y = 3 sin t - 2 sin^3 t, show that dy/d...

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  14. Find dy/dx if x = (sin^3t)/(sqrtcos2t), y = (cos^3t)/(sqrtcos2t)

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  15. Find dy/dx if 3y = sqrt(sec^2 x -1)

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  16. Differentiate the following functions w.r.t.x sin^-1 3x

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  17. Differentiate the following functions w.r.t.x sin^-1 sqrtx

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  18. Differentiate the following functions w.r.t.x cos^-1(1-x)

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  19. Differentiate the following functions w.r.t.x sin^-1(cosx)

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  20. Differentiate the following functions w.r.t.x sin(tan^-1x)

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