What is the instantaneous rate of change of f(x)=3x+5 at x=1?

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Avery Campbell · Accepted Answer

&quot;Instantaneous rate of change of f(x) at x=a&quot; means derivative of f(x) at x=aThe derivative at a point represents the function&#039;s rate of change at that point, or the instantaneous rate of change, often represented by a tangent line with the slope f&#039;(a)f(x)=3x+5f&#039;(x)=3, the derivative of a constant is zero, meaning the five plays no role here.So, at x=1, or at any x actually, the rate of change is 3.

ngiqulelexvg · Accepted Answer

Rate of change is just the gradient function and the instantaneous rate of change is just the gradient function at a particular point
So to get the gradient function you merely have to differentiate the original function.
f(x)=3
so at f(1)=3 so that is the instantaneous rate of change.

What is the instantaneous rate of change of

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