Answer:
yes
Step-by-step explanation:
the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.
the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).
so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.
but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.
there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).
but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.
Answer:
x=3,8,12
Step-by-step explanation:
Hi there this quez is fun thanks for uploading it
√48/x=a whole number
If you divide 48/3 you get 16 whose square root is 4-a whole number
If you divide 48/8 you get 6 whose square root is 3-a whole number.
If you divide 48/12 you get 4 whose square root is 2- a whole number
34.48
(2/7=.29, 10/.29=34.48)
9514 1404 393
Answer:
- minimum: 2 at x=0
- maximum: 10 at x=10
Step-by-step explanation:
When looking for extremes, one must consider both the turning points and the ends of the interval. Here, there is a relative minimum at x=7, and a relative maximum at x=3. However, the values at the ends of the interval are more extreme than these.
The absolute minimum on the interval is 2 at x=0.
The absolute maximum on the interval is 10 at x=10.
