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avshvk
find by first principle the derivative of arccos(x) / x Pls help anyone??
\[\cos^{-1} (x) / x find the derivative by first principle???\]
does this mean we cant use the quotient rule?
it should be done only by first principle method and not using the formula
\[\frac{dy}{dx}=\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}=\lim_{h \rightarrow 0}\frac{1}{h}(\frac{\cos^{-1}(x+h)}{x+h}-\frac{\cos^{-1}(x)}{x})\] Grind out the work...
after this what next how to resolve the RHS, pls help
I'd start by making a common denominator for the right hand side...
Pls give me the steps i'm not getting it.
Reduce this:\[\frac{\cos^{-1}(x+h)}{x+h}-\frac{\cos^{-1}(x)}{x}\].
yes this is correct answer but it should be done with first principle method
the method suggeested by @whpalmer4 is right
yes but how do we go further to get the answer?