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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
- 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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- 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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