Increasing and decreasing functions AS level pure math differentiation

For the greater than and less than signs why are they greater and equal and less than and equal and is this always the case

Reply 1

Original post by Animal lover :))

For the greater than and less than signs why are they greater and equal and less than and equal and is this always the case

If its strictly increasing or decreasing then its > 0 or < 0. Whereas if its (just) increasing or decreasing then its >= or <=

Reply 2

If its strictly increasing or decreasing then its > 0 or < 0. Whereas if its (just) increasing or decreasing then its >= or <=

Thank youuu

Reply 3

If its strictly increasing or decreasing then its > 0 or < 0. Whereas if its (just) increasing or decreasing then its >= or <=

It's a bit unclear exactly what you're saying, but it's worth noting x^3 is strictly increasing at x=0 but the derivative there = 0.

Reply 4

It's a bit unclear exactly what you're saying, but it's worth noting x^3 is strictly increasing at x=0 but the derivative there = 0.

Agreed, was talking about the difference in function value which is related to the derivative, but not equivalent.
https://en.wikipedia.org/wiki/Monotonic_function

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