Q-Define-LHD-left-hand-derivative-f-a-0-lim-h-0-f-a-h-f-a-h-

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Question Number 352 by Vishal Bhardwaj last updated on 25/Jan/15

$$Q.Define\bullet \bullet LHD(lefthand$$$$derivative)=f(a-0)$$$$\underset{h\to 0}{lim}\frac{f(a-h)-f\left(a\right)}{-h}$$$$$$$$$$

Commented by prakash jain last updated on 23/Dec/14

$$\mathrm{The}\mathrm{question}\mathrm{is}\mathrm{not}\mathrm{clear}.\mathrm{Can}\mathrm{you}$$$$\mathrm{please}\mathrm{clarify}:$$$$\mathrm{LHD}=\underset{h\to 0}{\lim }\frac{f(a-h)-f\left(a\right)}{-h}$$

Answered by prakash jain last updated on 25/Dec/14

$$\mathrm{Left}\mathrm{Hand}\mathrm{Derivative}\mathrm{of}f\left(x\right)\mathrm{at}x=a$$$$\mathrm{is}\mathrm{defined}\mathrm{as}$$$$\underset{h\to 0}{\lim }\frac{f(a-h)-f\left(a\right)}{-h}$$$$\mathrm{The}\mathrm{definition}\mathrm{that}\mathrm{you}\mathrm{gave}\mathrm{in}\mathrm{the}$$$$\mathrm{question}\mathrm{is}\mathrm{correct}.$$

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