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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
- If t=sin^(-1)2^(8) then (ds)/(dt) is equal to
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- Let f(x) =log sinx^(2),0lt x lt pi//2 then f''(sqrt(pi)//2) is equal t...
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- Let g(x) be the inverse of f(x) and f'(x)=(1)/(1+x^(5)) then (d^(2))/(...
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- The derivative of f(tanx) with respect to g(sec x) at x =(pi)/(4), whe...
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- If y=(log(cosx)sinx)(log(nx)cosx)+sin^(-1)""(2x)/(1+x^(2)), then (dy)/...
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- If y=sin^(-1)((5x+12sqrt(1-x^(2)))/(13)), then (dy)/(dx) is equal to:
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- Let f:(-1,1)toR be a differentiable function with f(0)=-1 and f'(0)=1....
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- Let y be an implicit function of x defined by x^(2x)-2x^(x)coty-1=0. T...
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- Let f(x)={{:((x-1)sin""(1)/(x-1),,"if "x ne1),(0,,"if "x=1):} The wh...
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- Let f(x) be defined by f(x)={{:(sin2x,,"if "0lt x le pi//6),(ax+b,,"...
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- Let f(x)={{:(1//|x|,,"for "|x|ge1),(ax^(2)+b,,"for "|x|lt1):} The ...
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- For a real number y, let [y] denote the greatest integer less than or ...
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- If f(x)={{:((cosx)^(1//sinx),,"for "x ne0),(k,,"for "x=0):} the va...
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- If y=sin^(-1)((sin alpha sinx)/(1-cos alpha sin x)), then y'(0) is
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- The st of all poinst of differentiability of the function f(x)=(sqrt...
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- If x=sin^(-1)t and y=log(1-t^(2)), then (d^(2)y)/(dx^(2))|(t=1//2) is
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- If y^(2)+x^(2)=R^(2) and k=1//R, then k is equal to
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- Let f:R to R. Then f is differentiable on R if
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- f:R to R be such that |f(x)-f(y)|le |x-y|^(3) for all x, y in R then t...
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