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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Fill in the blanks: Rolle's Theorem is not applicable to the functio...
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- Every continuous function is differentiable.
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- True or False : d/(dx) (logx) = 1/x for all x ne 0.
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- True or False : d/(dx) (log|x|) = 1/x for all x ne 0
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- If f is continuous on its domain D, then |f| is also continuous on D.
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- True or False : Rolle's Theorem is applicable to the function f(x) =...
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- Verify the truth of Rolle's Theorem for the following functions: f(X...
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- True or False : The function f(x) = log x^2 has only one point of di...
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- The composition of two continuous function is a continuous function.
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- true false: cos|x| is differentiable every where.
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- True or False : The function f(x) = {:{(x+a, xge1),(ax^2 +1, x <1):}...
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- True or False : The function f(x) = |sinx| is differetiable at all ...
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- Find ainR so that f(x) = {:{(x^2, x ge0),(ax,x<0):} is continuous at 0...
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- For continuity, at x=a, each of lim(xtoa^(+))f(x) and lim(xtoa^(-))f(x...
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- True or False : d/(dx) (log10x) = 1/x for all x >0
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- True or False : If underset(x rarr a)Lt f(x)g(x) exists then both un...
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- If f*g is continuous at x=a, then f and g are separately continuous at...
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- All trigonometric functions have inverse over their respective domains...
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- True or False : An increasing function is always a continuous functi...
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- True or False : The function f(x) = |x-1| is a continuous function.
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