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Show that the function f(x) = |x-1| is continuous but not differentiable at x=1.
cbse
class12
modelpaper
2012
sec-b
q14
math
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Jan 25, 2013
by
thanvigandhi_1
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Feb 4, 2013
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Show that \( f(x) = |x-3|, \large\frac{1}{4} \normalsize \forall \: x\: \in\: R, \) is continuous but not differentiable at $x = 3.$
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Dec 28, 2012
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Show that the function \( f(x) = |x+2 | \) is continuous at every \( x \in R\) but fails to be differentiable at x = -2.
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Feb 6, 2013
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sec-b
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Show that the function 'f' given by \( f(x)=|x|+|x+1|, x \in R\) is continuous both at \( x=0 \: and \: x=1.\)
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Jan 29, 2013
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cbse
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Show that the function $ f(x) = \left\{ \begin{array}{l l}-x^2, & \quad { x \leq 0} \\ x^2, & \quad { x \geq 0} \end{array} \right. $ is continuous at x = 0, also show that f is differentiable at x = 0.
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Jan 31, 2013
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Feb 8, 2013
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2012
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Find the relationship between 'a' and 'b' so that the function 'f' defined by $ f(x) = \left\{ \begin{array}{l l}ax+1, & \quad if { x \leq 3} \\ bx+3, & \quad if { x > 3} \end{array} \right. $ is continuous at x = 3.
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Feb 5, 2013
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cbse
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