Instantaneous Rate of Change/Derivative I am having a bit of trouble with a question on my Calc HW. Given P(x)= 3x^2+3, estimate the Instantaneous rate of change at x=5. This is what I have so far. f(x+h)=3(x+h)^2+3−(3x^2+3) =(3x+3h)(x+h)+3−(3x^2+3) =3x^2+3xh+3xh+3h^2+3−(3x^2+3) =3x^2+6xh+3h^2+3−3x^2−3 =(6xh+3h^2/h) =h(6x+3h)/h eliminate h and left with 6x+3h

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