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If siny = xsin(a+y), prove that dy/dx=si...

If `siny = xsin(a+y)`, prove that `dy/dx=sin^2(a+y)/sina`

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If y = x sin(a+y), prove that dy/dx = (sin^2(a+y))/(sin(a+y)-ycos(a+y))

If sin y = x sin (a + y), then prove that (dy)/(dx) = (sin^(2) (a + y))/(sin a) .

If sin y = x cos (a + y) , prove that (dy)/(dx) = (cos^2 (a + y))/(cos a)

If y = x sin y, prove that x dy/dx = y/(1-x cosy)

If x sin (a+y) + sin a cos (a+y) = 0, then prove that : dy/dx = (sin^2(a+y))/(sina)

If sin y = x sin (a+y), then show that: dy/dx=(sina)/(1-2xcosa+x^2)

If x cos (a+y) = cos y, then prove that dy/dx = (cos^2(a+y))/(sina) Hence, show that sina(d^2y)/(dx^2)+ sin 2(a+y) (dy)/(dx) = 0

If cosy = xcos(a+y) , with cos a ne +-1 , prove that dy/dx = (cos^2(a+y))/sina

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)
  1. Find (dy)/(dx) if y = log (sqrt(2x + sqrt(4x^2 + a^2)))

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  2. If x^y = e^(x + y) , show that (dy)/(dx) = (log x - 2)/((1 - log x)^2)

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  3. If siny = xsin(a+y), prove that dy/dx=sin^2(a+y)/sina

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  4. Differentiate cos^(-1) ((1 - x^2)/(1 + x^2)) , 0 lt x lt 1. w.r.t.x

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  5. Diferentiate tan^(-1)((2x)/(1 - x^2)) w.r.t.x.

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  6. If y = a sin (log x) + b cos (log x), then prove that : x^2 d^2y/dx^2+...

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  7. If y=sin(msin^-1x), prove that (1-x^2)y2-xy1+m^2y=0

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  8. Discuss the continuity of f(x) = 0 at x = 0 if f(x) = {{:((sqrt(1 + ...

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  9. Discuss the continuity of following at x = 0 if f(x) = {{:((sqrt(1 +...

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  10. Determine the value of constant k so that the function f(x) = {{:((x...

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  11. Determine the constant k, so that the function f(x) = {{:((x^2- 9)/(...

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  12. Examine the continuity of the following function at x = 2 : f(x) = {...

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  13. Examine the continuity of the following function at x = 2 : f(x) = {...

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  14. Differentiate the following w.r.t.x y = log(x+4+sqrt(x^2 +8x+4))

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  15. Differentiate the following w.r.t.x y= log(x+2+sqrt(x^2 + 4x+1))

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  16. y = sqrt(cos x + sqrt(cosx + sqrt(cosx + ...."to " oo))) prove that (2...

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  17. y = sqrt(sin x + sqrt(sinx + sqrt(sinx + ....1 oo))) prove that (2y - ...

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  18. y = sqrt(tan x + sqrt(tanx + sqrt(tanx + ...."to" oo))) prove that (2y...

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  19. If sin y = x cos (a + y), prove that (dy)/(dx) = (cos^2 (a + y))/(cos ...

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  20. x = a (theta - sin theta), y = a (1 + cos theta) find dy/dx

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