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Find the left and right hand derivati...

Find the left and right hand derivative of the following function at given point: `f(x)=|lnx|a t\ x=1`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  12. Show that the function f(x)={x^msin(1/x)0 ,x!=0,x=0 is differentiab...

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  13. Let f(x)=sgn(x) and g(x)= x(1-x^2), The number of points at which f(...

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  14. Q. f={(x+a if x<0), (x-11 if x>=0) g(x)={(x+1 if x<0),(x-1)^2 if x...

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  15. Discuss the differentiability of f(x)={(x-e)2^(- 2^((1/((e-x))))), x!=...

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  19. Suppose f is a derivable function that satisfies the equation f(x+y...

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  20. If f(x+y)=f(x)dotf(y),\ AAx in R\ a n df(x) is a differentiability...

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