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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
- If y = Ae^(-4x) + Be^(4x), then y satisfies
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- If x = sqrt((1-t^(2))/(1+t^(2)) and y = (sqrt(1+t^(2))-sqrt(1-t^(2)))...
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- If y = x+e^(x), then (d^(2)y)/(dx^(2)) is equal to
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- If S(n) denotes the sum of n terms of a G.P., whose common ratio is r,...
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- y = 1/(1+x^(beta-alpha)+x^(gamma-alpha))+ 1/(1+x^(alpha-beta)+x^(gamma...
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- If y = (1+x^(1/4))(1+x^(1/2))(1-x^(1/4)), then dy/dx =
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- If f(x) = x sin x, then f^(')(pi/2) is equal to
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- Let f(x) = x-[x], x in R then f^(')(1/2) is
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- If y = sqrtx + 1/x then dy/dx at x = 1 is
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- If f(x) = (x-1)(x-2)(x-3), then f^(')(0) =
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- If y = (1+1/x^(2))/(1-1/x^(2)) then dy/dx is
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- If y = ((sin x + cos x)/(sin x - cos x)) then dy/dx at x = 0 is
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- If y=("sin(x+9))/(cosx), then (dy)/(dx) at x=0 is :
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- If f(x) = 1+x + x^(2)/2 + …. + x^(100)/100, then f^(')(1) is equal to
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- If f(x)=(x^(n)-a^(n))/(x-a) for some constant 'a', then f'(a) is :
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- If f(x) = x^(100) + x^(99) + ….+x + 1, then f^(')(1) is equal to
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- If f(x) = 1-x + x^(2) - x^(3) + …. - x^(99) + x^(100), then f^(')(1) i...
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- Differential coefficient of sec(tan^(-1) x) is
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- If u=sin^(-1)((2x)/(1+x^(2))) and v=tan^(-1)((2x)/(1-x^(2))), then (du...
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- The set of points where the function f given by f(x) = |x-3| cos x is ...
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