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QUESTION
y = ln(x)/x. What are the x y asymptotes, and local maximum and minimums?
y = ln(x)/x. What are the x & y asymptotes, and local maximum and minimums?
y = (ln x)/xy’(x)={ln x- x.(1/x)}/x2=(ln x-1)/x2For max-min, y’(x)=0 (ln x-1)/x2=0 ln x=1 x=eNow we calculate y(e)y(e)=ln (e)/e=1/eSo maxima occurs at x=e having value of function as...