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Documents 4.2 derivatives of logarithmic functions

1. Derivatives of Logarithmic FunctionsJohn Napier (1550–1617), the inventor of logarithms 2. d = 1 , log bx  x ln b dxx>0d 1 x>0 [ ln x ] = , dx x d…

Business 4.4 l'hopital's rule

1. L’Hopital’s Rule 2. What are Indeterminate Forms? 0 0 ¥ 0 / 0 ¥ / ¥ 0 ×¥ ¥-¥ 0 ,¥ ,1 Applying L’Hopital’s Rule: • Check that the limit of f(x) / g(x)…

Education Thomas Calculus 12th ed solution ch8

1. CHAPTER 8 TECHNIQUES OF INTEGRATION 8.1 INTEGRATION BY PARTS 1. u x, du dx; dv sin dx, v 2 cos ;œ œ œ œ cx x # # x sin dx 2x cos…