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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
- 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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- Let f be the function of [0,1] given by f(x)=x sin""(pi)/(x) for x ne ...
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- Let f(x)=(|x|(3e^(1//|x|)+4))/(2-e^(1//|x|)),x ne 0 and f(0)=0 then
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- Let f(x)={{:(x^(2)-1",",,x le 1),(k(x-1)",",,x gt 1):} then
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- Let f be a function defined on [0,oo) by f(x)={{:(0,,x=0),((x+a//sqr...
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- The number of times the function y=(x^(2)+1)^(80) to be differentiated...
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- The derivative of the function y=sin^(-1)((2x)/(1+x^(2))) doesn't exis...
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- If 0lt alpha lt 1 and f is defind as f(x)={{:(x^(alpha),,"if "x gt 0...
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- Let f(x)={{:(x^(2),,"if x is rational"),(0,,"if x is irrational"):} th...
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- A value of k such that f(x)=x^(k) is (n-1) times differentiable at 0 b...
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- The domain of the derivative of the function f(x)={{:(tan^(-1)x,,"if...
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- The derivative of sin^(-1)((1-x^(2n))/(1+x^(2n))) with respect to x^(2...
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- If sqrt(1-x^(6))+sqrt(1-y^(6))=a(x^(3)-y^(3)) and (dy)/(dx)=f(x,y)sqrt...
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- If f(x)=x^(2)+tan x and f is inverse of g, then g'(x) is equal to
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- Number of points of non-differentiability of f(x)=sin pi(x-[x]) in (-p...
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- Suppose that f is differentiable function with the property f(x+y)=f(x...
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- If y=f(x) satisfies f(x+y)=2f(x)+xf(y)+y(f(x))^(1//3 for all x, y in R...
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- If f(0)=0,f'(0)=4 and g(x)=f(-x+fof(x)) then g'(0) is equal to
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- If f(x)=x^(6)+e^(x//7) and fog(x)=x^(3), then g'(1) is equal to
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- Let (a-b cos y)(a+b cos x)=a^(2)-b^(2) and (dy)/(dx)=((sinx)f(y))/((a+...
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