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If x = cos theta (1 + cos theta ), y = s...

If `x = cos theta (1 + cos theta ), y = sin theta (1 + cos theta ) ` show that `((dy)/(dx)) _(theta = ( pi )/(2)) =1.`

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AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.5
  1. Find (dy)/(dx) if x = ( 3 at)/(1+ t ^(3)), y = (3 at ^(2))/( 1 + t ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the derivative of the w.r.to x. x ^(tan x ) + (sin x ) ^( cos x)

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  20. Find (dy)/(dx) for the function (using logarithms). y = (x ^(3) sqrt...

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