Question

Approximate the instantaneous rate of change for the functions.
f(x)=3x^2 at x=1

Answer 1

Yout need to find the derivative at x=1
(3x^2)'=6x
And when x=1,6x=6
Thus the rate of change at x=1 is 6

Answer 2

No, you differentiate the equation to get the derivative, which is the slop of the curve at given point, which is 6x
and when x=1, the slope is 6*1

Answer 3

I think I got it never mind. Thanks ! @zhantshen