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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
- If y = e^(x^(x)) then dy/dx =
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- d/dx (sin x)^(cos x) =
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- d/dx (ax+b)^(cx+d) =
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- If y = sqrt(log x +y) then dy/dx =
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- If y = 3^(x) then (d^(2)y)/(dx^(2)) =
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- If y = sin^(2) x, then (d^(2)y)/(dx^(2)) =
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- If y = ax^(4) + b/x^(3) then (d^(2)y)/(dx^(2)) =
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- If x = e^(t) .cos 2t, (d^(2)y)/(dx^(2) at t = pi/2 is
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- If x = e^(2t).cos 3t, (d^(2)y)/(dx^(2) at pi/2 is
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- y = (sin^(-1)x)^(2) + (cos^(-1)x)^(2), then (1-x^(2))y(2)-xy(1) =
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- If f(a) = 2 , f ' (a) = 1 , g (a) = -1 , g'(a) = 2 , then lim(x to a) ...
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- If f(x) = e^(x) . g(x), g(0) = 4 and g^(')(0) =2, then f^(')(0) =
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- If y = x-x^(2) then the derivative of y^(2) w.r.t x^(2) is
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- If x^(2)+y^(2) = t +1/t and x^(4)+y^(4) = t^(2) + 1/t^(2) then dy/dx
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- If y = e^(tan x), then cos^(2)x . (d^(2)y)/(dx^(2)) =
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- d/dx {cos^(-1)x + sin^(-1)x}=
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- If y = log (sec x + tan x), then dy/dx =
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- If x = sin^(-1) (3t-4t^(3)) and y = cos^(-1) sqrt(1-t^(2)), and -1/2 l...
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- If y = sin^(-1) sqrt((x-1)/(x+1) ) + sec^(-1) sqrt((x+1)/(x-1)) then d...
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- If f(x) = log (tan x), then f^(')(x) =
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