How do you find the instantaneous rate of change of the function $y=4{x}^{3}+2x-3$ when x=2?

uplakanimkk
2022-07-01
Answered

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

Answered 2022-07-02
Author has **20** answers

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

$\frac{dy}{dx}=12{x}^{2}+2$

$x=2\to \frac{dy}{dx}=12(2{)}^{2}+2=50$

$\frac{dy}{dx}=12{x}^{2}+2$

$x=2\to \frac{dy}{dx}=12(2{)}^{2}+2=50$

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