Question

Instantaneous rate of change

Answer 1

Answer:

$h(x) = \frac{d}{dx} (3 {x}^{2} - 4) \\ = 6x. \\ now \\ x = - 3 \\ h(x) \\ h( - 3) \\ = 6( - 3) = - 18.$

Answer 2

Find derivative of h(x)

$\\ \sf\longmapsto \dfrac{d}{dx}(3x^2-4)$

$\\ \sf\longmapsto 6x$

Now

x=-3

$\\ \sf\longmapsto h(-3)$

$\\ \sf\longmapsto 6(-3)=-18$