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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
- If y=tan^(-1)(sec x+tan x) then (dy)/(dx)=
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- If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...
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- If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), then (dy)/(dx) is
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- If y = sin^(-1) ((1-x^(2))/(1+x^(2))), then dy/dx =
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- The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...
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- d/dx {cos [2sin^(-1) (cos x)]} =
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- If y = tan^(-1)((sin x)/(1+cos x)) find (dy)/(dx).
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- Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x), where g(x) is continuous. ...
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- 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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