# How do you find the instantaneous rate of change of the function y = 4 x <mrow cla

How do you find the instantaneous rate of change of the function $y=4{x}^{3}+2x-3$ when x=2?
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Freddy Doyle
The instantaneous rate of change at a point is the value of the derivative at that point, that is it is a measure of the slope of the tangent line
$\frac{dy}{dx}=12{x}^{2}+2$
$x=2\to \frac{dy}{dx}=12\left(2{\right)}^{2}+2=50$