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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
- Let f and g be differentiable functions such that ("fog")'=I. If g'(a)...
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- Let f(x+y) = f(x).f(y), forall, x, y. Suppose f(5) =2, f^(')(0) = 3 th...
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- lim(hto0)(cos^(2)(x+h)-cos^(2)x)/(h) is equal to :
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- If f(x) is differentiable at x = a then lim(a rarr a) (x f(a) - a f(x)...
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- If g(x) = 1/sqrt(9+x^(2) then lim(x rarr 4) ((g(x) - g(4))/(x-4) )=
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- Let f be twice differentiable function such that f^('')(x) = -f(x) and...
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- If y=e^(-x)(Acosx+Bsinx), then y satisfies :
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- If y = e^(2x)(A cos 3x - B sin 3x), then y satisfies
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- If y = Ae^(2x) + Be^(-3x), then y satisfies
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- If y = 2e^(-x)+3e^(-2x), then y satisfies
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- If y = (3x+5)e^(-2x), then y satisfies
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- 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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