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A point of notation:
'#' is the beginning of a comment, we will use comments to note down thoughts and tricks at each stage of the problem
A) let f(x) denote the differential of F(x)
F(x)=...

300 - 0.03= 299.97

so, let's split the fraction up, into the top half and the bottom half, and deal with each part at a time. The top part of the fraction (numerator) is a^2 +a -6 , and you can see that it is a quadratic eq...

Product rule: d/dx[f(x)g(x)]= f(x)d/dx[g(x)] + g(x)d/dx[f(x)]Let f(x)=x^2 and g(x)=e^xf'(x) = 2x and g'(x) = e^x Therefore,The derivative of (x^2)(e^x) = 2x(e^x) +(x^2)(e^x)