# How is instantaneous rate evaluated

Dear student,

The instantaneous rate of change at a point is equal to the function's derivative evaluated at that point. In other words, it is equal to the slope of the line tangent to the curve at that point. For example, let's say we have a function f(x) = x4 . So, the instantaneous rate of change, in this case, would be 4x

Regards

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The?instantaneous rate of change at a point?is equal to the function's derivative evaluated at that point. In other words, it is equal to the slope of the line tangent to the curve at that point.
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