... the ideas of calculus, and a scientifically lit-erate person must know calculus solidly. Calculus has two main aspects: differential calculus and integral calculus. Differential calculus concerns ... Note in particular that itis not the case that[f (x)· g (x)]= f(x) · g(x).84 CALCULUS DeMYSTiFieD III. Derivative of a Quotient [The Quotient Rule]: We calculate the derivativeof ... this section.EXAMPLE2.14Calculate the derivativeddx( sin x + x)(x3− ln x).86 CALCULUS DeMYSTiFieD SOLUTIONWe know thatddxsin x = cos x,ddxx = 1,ddxx3= 3x2, andddxln...