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# Clear step by step for these 2 problems? (max & min)(concavity)

Posted 9 years ago
 Hello, could anyone give clear step by steps to solve these problems? Thank you. 1) Let f(x)=4x?8x for x greater than 0. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). f is increasing on the intervals :______________ f is decreasing on the intervals:_____________ The relative maxima of f occur at x =_____________ The relative minima of f occur at x =______________ Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last two, your answer should be a comma separated list of x values or the word "none". 2)Let f(x)=1/(5x^(2)+7). Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. f is concave up on the intervals:____________ f is concave down on the intervals:____________ The inflection points occur at x =____________ Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none".