Difference between revisions of "Graphing Functions and Their Derivatives"
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#When a first derivative is positive, the original function is increasing. | #When a first derivative is positive, the original function is increasing. | ||
#When a first derivative is negative, the original function is decreasing. | #When a first derivative is negative, the original function is decreasing. | ||
##The derivative | ##The derivative does not tell us if the function is positive or negative, only if increasing or decreasing. | ||
#When a second derivative is positive, the original function is concave up. | #When a second derivative is positive, the original function is concave up. | ||
#When a second derivative is negative, the original function is concave down. | #When a second derivative is negative, the original function is concave down. | ||
#When a first derivative hits zero from below the axis, the original function is at a(n) local minimum. | #When a first derivative hits zero from below the axis, the original function is at a(n) local minimum. | ||
#When a second derivative is zero, the original function is at a(n) inflection point. | #When a second derivative is zero, the original function is at a(n) inflection point. | ||
[[File:Screen Shot 2021-08-03 at 9.35.59 PM.png|thumb]] | [[File:Screen Shot 2021-08-03 at 9.35.59 PM.png|thumb]] | ||
<noinclude> | <noinclude> | ||
=test= | =test= | ||
==test two== | ==test two== | ||
< | </noinclude> | ||
Latest revision as of 13:42, 13 September 2021
- When a first derivative is positive, the original function is increasing.
- When a first derivative is negative, the original function is decreasing.
- The derivative does not tell us if the function is positive or negative, only if increasing or decreasing.
- When a second derivative is positive, the original function is concave up.
- When a second derivative is negative, the original function is concave down.
- When a first derivative hits zero from below the axis, the original function is at a(n) local minimum.
- When a second derivative is zero, the original function is at a(n) inflection point.
