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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- If x^(2//3) + y^(2//3) = 2, find dy/dx at (1,1)
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- Use implicit differentation to verify that dy/dx.dx/dy = 1 when y^2 = ...
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- Use implicit differentation to verify that dy/dx.dx/dy = 1 when x^3 + ...
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- Find dy/dx when cos(x+y) = y sinx
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- Find dy/dx when x sin 2 y = y cos 2 x
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- Find (dy)/(dx) in the following : y sec x + tan x + x^2 y = 0
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- Find dy/dx when y^2 sin x + y tan x + (1 +x^2) cosx = 0
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- Find dy/dx when ye^(x^2) + tan x + log (sin x) = 0
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- Find dy/dx when x sin y + x^3 = tan^-1y
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- Find dy/dx when sin y = log(sinx) (cos x)
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- Find dy/dx when tan(x+y) + tan (x-y) = 1
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- Find dy/dx when cot (y) + xy = y
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- Find (dy)/(dx), if sin^2 x + cos^2 y = 1
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- Find dy/dx when sec(x+y) = xy
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- Find dy/dx when tan^-1(x^2 + y^2) = a
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- If y = sqrt(1+sqrt(1+x^4)), prove that y(y^2-1)dy/dx = x^3
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- If x sin (a+y) + sin a cos (a+y) = 0, then prove that : dy/dx = (sin^...
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- If e^x + e^y = e^(x+y), prove that dy/dx = -e^(y-x)
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- If cos^(-1)((x^(2)-y^(2))/(x^(2)-y^(2)))=tan^(-1)a, then prove that (d...
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- If x^2 + y^2 = t + 1/t and x^4 + y^4 = t^2 + 1/t^2, then show that dy/...
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