I
iTeachChem•4mo ago
Abhi

Monoticity doubt

First case is increase and second one is strictly increasing. Please explain the difference in the graph curve.
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15 Replies
iTeachChem Helper
iTeachChem Helper•4mo ago
@Apu
iTeachChem Helper
iTeachChem Helper•4mo ago
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
Abhi
AbhiOP•4mo ago
@SirLancelotDuLac welp
iTeachChem
iTeachChem•4mo ago
this is increasing
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iTeachChem
iTeachChem•4mo ago
this is strictly increasing
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iTeachChem
iTeachChem•4mo ago
If f(X) is less than or equal to f(x), then the function is a decreasing function. If f(X) is greater than or equal to f(x), the function is known as an increasing function. If f(X) is always greater than f(x), the function is known as strictly increasing. https://en.wikipedia.org/wiki/Monotonic_function basically >= (inc) or > (strictly inc)
Dexter
Dexter•4mo ago
Increasing means 0 is included in the values of dy/dx Strictly increasing means zero is not included 🤔
SirLancelotDuLac
SirLancelotDuLac•4mo ago
Increasing: for x>y means f(x)>=f(y) Strictly increasing: x>y means f(x)>f(y)
Dexter
Dexter•4mo ago
Like dy/dx = [0,infinity) for increasing And dy/dx = (0,infinity) for strictly increasing
Abhi
AbhiOP•4mo ago
oh
SirLancelotDuLac
SirLancelotDuLac•4mo ago
For an fn. to be increasing f'>=0 for all x. For it to be strictly increasing, furthermore, f'(x)=0 must occur at countable (Or discrete) points.
Abhi
AbhiOP•4mo ago
ohk
iTeachChem
iTeachChem•4mo ago
we good? shall we close this out?
Abhi
AbhiOP•4mo ago
ohk +solved @iTeachChem @Dexter @SirLancelotDuLac
iTeachChem Helper
iTeachChem Helper•4mo ago
Post locked and archived successfully!
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