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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
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- If x^(y) = y^(x) find (dy)/(dx)
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- If sec ((x+y)/(x-y)) = a, then dy/dx =
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- Derivative of f(x) = log(5)(log(7)x), where x gt 7 is
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- If g is the inverse function of f and f^(')(x) = 1/(1+x^(n)), then g^(...
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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 = tan^(-1) ((a cos x - b sin x)/(b cos x + a sin x)), then dy/dx ...
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- If sqrt(1-x^(6)) + sqrt(1-y^(6)) = a^(3)(x^(3)-y^(3)) then dy/dx =
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- If f(x) = (x^(2)-x)/(x^(2)+2x), then d/dx [f^(-1)(x)] =
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- If g(x) = (x^(2)+2x+3) f(x) and f(0) = 5 and lim(x rarr 0) (f(x)-5)/(x...
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- The derivative of tan^(-1) ((2x)/(1-x^(2))) w.r.t sin^(-1) ((2x)/(1+x^...
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- Let F(x) = f(x) g(x) h(x) for all real x, where f(x), g(x) and h(x) ar...
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- (d^(2)x)/(dy^(2)) equals :
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- If the function f(x)= x^(3)+e^(x/2) and g(x) = f^(-1)(x) then the valu...
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- f(x) and g(x) are two differentiable functions on [0,2] such that f^('...
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- If f(1) =1 and f^(')(1) =2 then lim(x rarr 1) (sqrt(f(x))-1)/(sqrt(x) ...
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- If x^(p) . y^(q) = (x+y)^(p+q), then dy/dx is equal to
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