How do you find the instantaneous slope of $y=x^3$ at x=2?

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Answer 1 · 2016-08-18T06:45:20

Slope of $y=x^3$ at $x=2$ is $12$

$y=x^3$

$dy/dx = 3x^2$ (Power rule)

Since $dy/dx$ is continious, it represets the slope of $y$ for all $x$

Therefore, Slope of $y$ and $x=2$
$= 3xx2^2 = 12$

How do you find the instantaneous slope of y=x^3y=x^3 at x=2?