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NAGEEN PRAKASHAN-Continuity and Differentiability-Exercies 5.3
- Find (dy)/(dx) in the following 2x + 3y = sin x
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- 2x + 3y = sin y
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- ax + by^(2) = cos y
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- xy + y^(2) = tan x + y
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- x^(2) + xy + y^(2) =100
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- x^(3) + x^(2)y+ xy^(2) + y^(3) = 81
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- sin^(2)y + cos xy = k
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- sin^(2) x + cos ^(2) y = 1
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- Graph of y=sin^(-1)((2x)/(1+x^2))
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- y=tan^-1[(3x-x^3)/(1-3x^2)],-1/sqrt3ltxlt1/sqrt3
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- y = cos ^(-1)((1 - x^(2))/(1+ x^(2))) 0 lt x lt 1
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- y = sin ^(-1)((1 - x^(2))/(1+ x^(2))) 0 lt x lt 1
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- y = cos ^(-1)((2x)/(1 +x^(2))),-1 lt x lt1
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- y = sin ^(-1)(2xsqrt(1 - x^(2))),-(1)/sqrt(2) lt x lt (1)/sqrt(2)
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- y = sec^(-1)((1)/(2x^(2) -1 )), 0 lt x lt (1)/(sqrt(2))
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