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SUBHASH PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -TRY YOURSELF
- If sin^(2)x + cos^(2) y = 1 find (dy)/(dx).
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- Find (dy)/(dx) given 2x + 3y = sin x.
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- Find (dy)/(dx) given x^(2) + xy + y^(2) = 100.
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- If y = 3 sin x + 2 cos x then prove that (d^2y)/(dx^2) + y = 0
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- If y = a cos (log x) + b sin (log x), show that x^(2) y(2) + xy(1) + y...
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- If y = cos^(-1) x, show that (1 - x^2) (d^2y)/(dx^2) - x(dy)/(dx) = 0.
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- If y = cos^(-1)x then find (d^2 y)/(dx^2) in terms of y alone.
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