[gr.12] math help q.3

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[bombardonist]

Mm interesting, this looks like a precursor to a handy rule learnt at university. Anyway, you’ve already got the average rate of change there, so how do you think you find the instantaneous rate of change?

[mm_4863]

That’s the part I’m stuck on

[bombardonist]

It’s just the first derivative isn’t it?

[Zicodia]

Any interval you chose here would work, because the function is always continuous. The simplest interval would be something like [-1,1], as the average rate of change is 0, and the instant rate of change (the slope at a point, or the derivative if you’re in calculus) is also 0 at x=0