MAT135H1 Lecture 31: MAT135 - Lecture 31 - Intervals of Increase & Decrease
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Let f(x)=4x^2/xâ6. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).
1. | f is increasing on the intervals= (-inf,0)U(12,inf) its wong or maybe partially wrong | |
2. | f is decreasing on the intervals= (0,12) I put that but was wrong | |
3. | The relative maxima of f occur at x =0 | |
4. | The relative minima of f occur at x =2 |
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".
Let f(x)=8x+2/x. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).
1. | f is increasing on the intervals= (-INF,-1/2),(1/2,INF) | |
2. | f is decreasing on the intervals= (1/2,-1/2) this one is the one I got wrong | |
3. | The relative maxima of f occur at x =-1/2 | |
4. | The relative minima of f occur at x =1/2 |
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".