What is the instantaneous rate of change of f(x)=6x^2-3x at x=3?

1 Answer
Alan P.
Dec 14, 2015

The instantaneous rate of change of f(x)=6x^2-3x at x=3
is 33

Explanation:

Given:
color(white)("XXX")f(x)=6x^2-3x

f'(color(blue)(x)) = 12color(blue)(x)-3
and since the derivative is the slope of the tangent (the instantaneous rate of change) at the general value x

for x=3
f'(color(blue)(3)) =12xxcolor(blue)(3) -3=33

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