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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
- Let f be a function defined for every x, such that f''=-f,f(0)=0,f'(0)...
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- If y=sin^(-1)(cos x) and y'(x) is identically equal to g(x) on R~{kp,k...
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- If f(x)=cos(x^(2)-4[x]) for 0lt x lt 1, where [x] denotes the greatest...
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- If x=a cos 2t,y=b sin^(2)t then (d^(2)y)/(dx^(2)) is equal to
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- If f(x)=tan^(-1)sqrt((1+sinx)//(1-sinx)),0le x lt pi//2, then f'(pi//6...
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- If 2^(x)+2^(y)=2^(x+y), then the value of (dy)/(dx) at x = y = 1 is
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- If t=sin^(-1)2^(8) then (ds)/(dt) is equal to
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- Let (x, y) be any point on the unit circle with centre at the origin, ...
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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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