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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
- y = tan^(-1) (sec x - tan x), then dy/dx =
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- If sqrt(1-x^(2) ) + sqrt(1-y^(2)) = x-y, then dy/dx =
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- If x^(y) = log x, then dy/dx at the point where the curve cut the x-ax...
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- If y = a^(x), then (d^(2)y)/(dx^(2)) =
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- If x^(2)+xy+y^(2)=0, (d^(2)y)/(dx^(2))=
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- If x = at^(2), y = 2at, then (d^(2)y)/(dx^(2)) =
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- If y = ax^(n+1) + bx^(-1), then x^(2) (d^(2)y)/(dx^(2)) =
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- If x = a (cos theta + theta sin theta), y = a(sin theta - theta cos th...
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- If y = tan^(-1) sqrt((1-cos x)/(1+cosx)), then(d^(2)y)/(dx^(2)) = =
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- If 2x^(2)+4xy+3y^(2) = 0, then (d^(2)y)/(dx^(2)) =
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- If y = 1 -x + x^(2)/(2!) - x^(3)/(3!) +x^(4)/(4!) - ………….. then (d^(2)...
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- If x=a(theta-sintheta),y=a(1-costheta) then (dy)/(dx)=
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- If x Aos 4t+Bsin4t then(d^(2)x)/(dt^(2))=
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- If x = sin t, y = cos pt then...
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- If y=1+(1)/(x)+(1)/(x^(2))+(1)/(x^(3))+… to oo with |x|gt 1 then (dy)/...
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- If sin(x+y)+cos (x+y)=log(x+y), then (d^(2)y)/(dx^(2))=
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- If f (x) is a function such that f''(x)+f(x)=0 and g(x)=[f(x)]^(2)+[f'...
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- If y = (cos^(2))(3x)/(2) - (sin^(2))(3x)/(2), then (d^(2)y)/(dx^(2)) i...
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- If x^y = e^(x-y), dy/dx=
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- Let f(2)=4 and f'(2)=4. Then lim(xto2)(xf(2)-2f(x))/(x-2) is given b...
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