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**Unformatted text preview: **Generalizations of single vs. multivariable calculus 1 var. 2 vars. Several vars. h t 1) Rate of change of f is the slope of the tangent line at certain points on f . dx df m = tan 2) Area under the curve is the integral of the function y = f ( x ) from h to t . ∫ t h dx x f ) ( Main idea of single variable calculus is that these statements are inverses of each other (known as the Fundamental Theorem of Calculus ) Hard Easy y=f(x)...

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