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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Find dy/dx when y = 10x^x + x^(x^x) + (x^10)
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- Find dy/dx when y = e^(e^(e^x)) + e^(x^(e^(x))) + e^(e^(x^x))
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- Find dy/dx when (sin x)^y = (sin y)^x
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- Find (d^2y)/(dx^2) when y = 2x^3 + 3x^2 + 6
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- Find (d^2y)/(dx^2) when y = (logx)/(x)
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- Find (d^2y)/(dx^2) when y = x^x
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- Find (d^2y)/(dx^2) when y = e^x sin x
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- Find (d^2y)/(dx^2) when y = x^2 + tan x
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- Find (d^2y)/(dx^2) when y = x^3 + tan x
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- Find the second derivative of log x + cosx.
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- If y = tan x + sec x, prove that (d^2y)/(dx^2) = (cosx)/((1-sinx)^2)
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- If y=log (x+ sqrt ( x^2+1)), prove that: (x^2+1) d^2y/dx^2 + xdy/dx=0.
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- Find the second order derivative of e^(x tanx)
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- If y = tan^-1 x , find (d^2y)/(dx^2) in terms of y alone.
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- If y = A sinx + B cosxthen prove that d^2y/dx^2 + y = 0
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- If y = 3 cos (log x) + 4 sin (log x) show that x^2 y2 + xy1 + y = 0
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- If y = Ae^(mx) + Be^(nx), Show that (d^2 /dx^2 y)-(m+n)dy/dx+mny = 0
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- If y=e^(ax)cosbx, then prove that (d^(2)y)/(dx^(2))-2a(dy)/(dx)+(a^(2)...
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- If y = (sqrt(x+1) - sqrt(x-1)), then prove that (x^2-1) y2 +xy1 = 1/4 ...
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- y = e^(m sin^(-1)x), prove that (1 - x^2) y2 - xy1 = m^2y
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