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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
- Let f be a function defined for all x in R. If f is differentiable and...
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- If f(x ) = (ax +b) sin x + (cx +d) cosx, then the values of a,b,c,d su...
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- If x = a(t+1/t), y =a(t-1/t), then dy/dx =
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- f(x) = log (x+ sqrt(x^(2)+1), then f^(')(1/2) =
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- If f '(x) = cos (log x) and y = f((2x-3)/(2x+5)) then dy/dx =
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- If 2^(x)+2^(y)=2^(x+y), then (dy)/(dx) is
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- If y = (x^(x))^(x), then (dy/dx)(x =1) =
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- If y = tan^(-1) (cosec x - cot x), then dy/dx =
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- If y = (e^(x)+1)/(e^(x)-1), then y^(2)/2 + dy/dx =
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- y = (x+ sqrt(x^(2)+a^(2)))^(n), then dy/dx =
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- If y = 1 + x + x^(2)/(2!) + x^(3)/(3!)+x^(4)/(4!)+ ....., then dy/dx =
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- The least value of n so that y(n) = y(n+1), where, y = x^(2)+e^(x) is
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- If y = (1+ 1/x)^(x), then dy/dx =
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- If y =(sin x)^(tan x), then dy/dx =
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- A differentiable function f(x) is such that f91) =7 and f^(')(1) = 1/7...
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- The differentiable coefficient of x^(6) w.r.t. x^(3) is :
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- (d)/(dx)((x)/(2)sqrt(x^(2)+a^(2))+(a^(2))/(2)log(x+sqrt(x^(2)+a^(2))))...
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- If y = f((2x-1)/(x^(2)+1)) and f^(')(x) = sin x^(2), then dy/dx =
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- If y = x . tan y, then dy/dx =
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- The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1...
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