1.6 Formula Sheet

1.6 Formula Sheet - Formula sheet for Prelim 1 in Math 106...

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Formula sheet for Prelim 1 in Math 106 Differentiation formulas (x p ) = px p-1 (e x ) = e x (ln x) = 1/x (cf) = cf (f+g) = f +g (fg) = f g + f g (1/g) = - g / g 2 (f/g) = (f g - f g ) / g 2 (f(g)) = f (g) g Leibniz view of the chain rule: df df dg dx dg dx = Equation of the tangent line to the graph at x 0 : 0 0 0 ( ) '( )( ) y f x f x x x = + Algebra, Properties of e and ln: (a+b) 2 = a 2 + 2ab + b 2 1 lim 1 2.71828 n n e n →∞ + = = Definition. e ln x = x ln(e x ) = x
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