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Find dy/dx if x=(2at)/(1+t^2), y=(a(1-t^...

Find dy/dx if
`x=(2at)/(1+t^2)`, `y=(a(1-t^2))/(1+t^2)`

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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Find dy/dx if y=sqrt([sinx+sqrt({sinx+sqrt((sinx+.....)}])

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  2. Find dy/dx if x=at^2, y=2at

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  3. Find dy/dx if x=(2at)/(1+t^2), y=(a(1-t^2))/(1+t^2)

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  4. Find dy/dx if x=rcostheta, y=rsintheta

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  5. Find dy/dx if x=acos^3theta, y=bsin^3theta

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  6. Find dy/dx if x=a(theta+sintheta), y=a(1-costheta)

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  7. Find dy/dx if sinx=(2t)/(1+t^2), cos y=(1-t^2)/(1+t)^2

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  8. Find dy/dx if x=a(t+sint), y=a(1+cos t) at t=pi/2

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  9. A particle is moving in a straight line according to the law S=t^3+2t^...

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  10. For a particle moving along a straight line, the relation between the ...

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  11. A particle is moving in a straight line is at a distance S from a poin...

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  12. The radius of a circle is increasing at the rate of 0.7 cm//s. What is...

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  13. At what point of the parabola y^2=18x, does the ordinate increase at t...

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  14. A particle moves along a curve 6y=x^3+2. Find the points on the curve ...

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  15. The sides of an equilateral triangle increases at the rate of sqrt3 cm...

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  16. The length x of a rectangle is decreasing at the rate of 5 cm//minute ...

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  17. The length x of a rectangle is decreasing at the rate of 5 cm//minute ...

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  18. A spherical balloon is inflated such that its radius is increasing at ...

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  19. The radius of a spherical button is increasing at the rate 10 cm//sec....

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  20. The side of a square is increasing at the rate of 0.01 cm//s. Find the...

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