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

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

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The correct Answer is:
`(b)/(2a) (t - (1)/(t))`
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AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.5
  1. If x=3cost-2cos^(3)t,y=3sint-2sin^(3)t then find dy/dx.

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  2. If x = a[cos t + log tan (t/2)], y = a sin t then find (dy)/(dx).

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

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

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  5. Find dy/dx if x=acos^(3)t,y=asin^(3)t.

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  6. If x = cos theta (1 + cos theta ), y = sin theta (1 + cos theta ) sho...

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  7. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

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  8. If ax ^(2) + 2 hxy + by ^(2) =0 then (dy )/(dx) =

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  9. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

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  10. Find the derivative of x^(4) + y^(4) - a^(2) xy = 0 w.r.to x

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  11. If y is an implicit funtiion of x given by the relation, find (dy)/(dx...

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  12. Find the derivative of the w.r.to x. (2x + 3) ^(x-5)

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  13. Find the derivative of the w.r.to x. x ^(x ^(x))

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  14. Find the derivative of the w.r.to x. (x ^(x)) x

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  15. Find the derivative of the w.r.to x. x ^(x sqrtx)

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  16. Find the derivative of the w.r.to x. (log x) ^( tan x )

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  17. Find the derivative of the w.r.to x. (tan x)^( sin x)

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  18. Find the derivative of the w.r.to x. x ^(x) + e ^(e ^(x))

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  19. Find the derivative of the w.r.to x. x ^(x) + (cot x) ^(x)

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  20. Find the derivative of the w.r.to x. (sin x ) ^(x) + x ^( sin x)

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