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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
- If 2^(x)+2^(y)=2^(x+y), then (dy)/(dx) is
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- If x = (2t)/(1+t^(2)), y = (1-t^(2))/(1+t^(2)) then dy/dx =
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- Let f(x) = e^(x), g(x) = sin^(-1) x and h(x) = f(g(x)) then (h^(')(x))...
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- If f(x)= sqrt(ax) + a^(2)/(sqrt(ax) then f^(')(a) =
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- If f(x) {((x-1)/(2x^(2)-7x+5), x ne 1),(-1/3, x = 1):} then f^(')(1) =
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- If f(x) = x/(1+|x|) for x in R, then f^(')(0) =
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- y = sin^(-1)x, then (1-x^(2)) (d^(2)Y)/(dx) x^(2)) =
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- The derivative of an odd function is :
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- f(x) = 10 cos x + (13 + 2x) sin x, then f^('')(x) + f(x) =
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- If f : R rarr R is an even function which is twice differentiable on R...
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- If f(x)=sin^(-1)((2x)/(1+x^(2))), then f(sqrt3) is
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- If xsqrt(1 + y) + ysqrt(1 + x) = 0 x != y prove that (dy)/(dx) = (-1)/...
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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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