SOLUTION: I'M TRYING TO UNDERSTAND HOW THE DERIVATIVE OF X^1/4 WAS OBTAINED. USEING
THE FORMAT: lim h--0 f(X+h) - f(X-h)/ X+h - X-h OR 2h
LIM h--0 1/2h [(X+h)^1/4 - (X-h)^1/4 ]
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Question 947655: I'M TRYING TO UNDERSTAND HOW THE DERIVATIVE OF X^1/4 WAS OBTAINED. USEING
THE FORMAT: lim h--0 f(X+h) - f(X-h)/ X+h - X-h OR 2h
LIM h--0 1/2h [(X+h)^1/4 - (X-h)^1/4 ]
THE ANSWER BY USING THE POWER RULE IS 1/4X^3/4 BUT I CAN'T FIGURE OUT THE MATH TO PROVE IT.
CONFUSED AND IN SEARCH OF CLARITY
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The difference quotient needs to be this format:
and
Forming the difference quotient:
and from here, there is an algebraic trick taught in College Algebra during the study of limits, but unsure about how to work with it at this moment. Maybe you can review that and finish. I leave this unfinished posting up anyhow.
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