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ML KHANNA-LIMITS, CONTINUITY AND DIFFERENTIABILITY -PROBLEM SET (2) (MULTIPLE CHOICE QUESTIONS)
- Let f(x) = a|x|^(2) + b|x| +c where a,b,c are real constants. Then f'(...
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- Let h(x) = "min" {x,x^(2)} , for every real number of x. Then
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- Let f : R to R be a function defined by f(x) = max. {x, x^(3)}. The s...
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- The derivative of f(x) =|x| at x = 0 is:
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- For a differentiable function f, the value of lim(h to 0) ([f(x+h)]^(2...
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- If for a continuous function f,f(0)=f(1)=0,f^(prime)(1)=2a n dy(x)=f(e...
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- The function f(x) = e^(|x|) is
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- Let f(x) be defined as f(x) = {{:(sin 2x, 0 lt x lt pi/6),(px + q, p...
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- Let f(x) = {{:(-1/|x|, "for " |x| ge 1),(ax^(2)-b, "for " |x| lt 1):},...
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- The derivative of f(x) =|x|^(3) at x=0 is:
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- If y=|tan (pi/4-x)|, then (dy)/(dx) at x=pi/4 is
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- Which of the following functions is differentiable at x = 0 ?
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- f(x)=||x|-1| is not differentiable at
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- The number of points at which the function f(x) =|x-0.5|+|x-1| + tan x...
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- Consider, f(x) = {{:(x^(2)/(|x|), x ne 0),(0, x =0):}
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- The function f(x) = (x^(2)-1)|x^(2) -3x+2| + cos(|x|) is not differen...
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- Consider the following statements S and R: S: Both sin x and cos x a...
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- If f(x) =x^(2) + x^(2)/(1+x^(2)) + x^(2)/(1+x^(2))^(2) + …… + x^(2)/(1...
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- Let f(x) be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x g(x)"For...
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- Let f(x + y)=f(x)+f (y) and f(x) = x^2 g(x) for all x, y in R, where g...
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