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CHETANA PUBLICATION-Differentiation-Exercise
- If e^x + e^y = e^(x+y) , show that dy/dx = - e^(y-x)
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- Find (d^2 y)/(dx^2) of the following: y= x^3 + 5x^2 -7x + 10
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- Find (d^2 y)/(dx^2) of the following: y= log(frac{x^2}{e^x})
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- Find (d^2 y)/(dx^2) of the following: y= sin(log x)
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- Find (d^2 y)/(dx^2) of the following: y= x log x
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- If ax^2 + 2hxy + by^2 =0, show that dy/dx = y/x
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- Find (d^2 y)/(dx^2) of the following: x= sin sqrt t , y= sin sqrt t
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- Find (d^2 y)/(dx^2) of the following: x = a cos^3theta, y= b sin^3thet...
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- If x= costheta, y= sin^3theta, show that y(d^2 y)/(dx^2) + (dy/dx)^2 =...
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- If y= cos (m sin^(-1) x), show that (1- x^2)(d^2 y)/(dx^2) - x(dy/dx) ...
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- Find the nth derivative of the following: cos(5x+4)
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- Find the nth derivative of the following: 1/x
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- Find (d^2 y)/(dx^2) if y= x^2 + 3x +4
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- Find the nth derivative of log x
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- If y= sin^(-1) (3x) + sec^(-1) frac{1}{3x}, find dy/dx
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- If y= sin sqrt x, find dy/dx
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- If y= cos^(-1) (1-2 sin^2 x), find dy/dx
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- If y= sqrt (1+x^2), find dy/dx
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- If y= sqrt (sin x + sqrt (sin x + sqrt (sin x + .......oo))), then sho...
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- Find dy/dx if x sin y + y sin x = 0
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