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hashsam1
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can someone explain the left hand derivative and right hand derivative rules in order to find whether the function is a differentiable function or not
 one year ago
 one year ago
hashsam1 Group Title
can someone explain the left hand derivative and right hand derivative rules in order to find whether the function is a differentiable function or not
 one year ago
 one year ago

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RolyPoly Group TitleBest ResponseYou've already chosen the best response.2
Wouldn't it be something similar to the case for limit?
 one year ago

hashsam1 Group TitleBest ResponseYou've already chosen the best response.0
left hand limit and right hand ljmits arent like the derivatives
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.2
\[f'(x)= \lim_{h \rightarrow 0}\frac{f(x+h)f(x)}{h}\] ^Limit A function y=f(x) is differentiable on an open interval if it has a derivative at each point of the interval. It is differentiable on a closed interval [a, b] if it is differentiable on the interior (a,b) and if the limits\[f'(x)= \lim_{h \rightarrow 0^+}\frac{f(a+h)f(a)}{h}\](Righthand derivative of at a) \[f'(x)= \lim_{h \rightarrow 0^}\frac{f(b+h)f(b)}{h}\](Lefthand derivative of at b) exist at the end point
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.2
Righthand and lefthand derivatives may be defined at any point of a function 's domain. Because of ''A function f(x) has a limit as x>c if and only if it has lefthand and righthand limits there and these onesided limits are equal'', a function has a derivative if and only if it has lefthand and righthand derivatives there, and these onesided derivatives are equal.
 one year ago
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