Lecture 3_7MondayFeb18th

Lecture 3_7MondayFeb18th - Monday, February 17 The week's...

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Monday, February 17 The week’s objectives: Monday – Lecture 3.7 Tuesday – Lecture 3.8 Wed – no class day to work 3.7 webassign due Wed . Thursday – Review Day 3.8 webassign due Thurs. Friday – Test #2 - covers up through section 3.8 3.7 I. Derivatives of Logarithmic Functions II. Method of differentiation “logarithmic differentiation” I. Use def’n of logs and implicit differentiation to derive the derivative formula for y = log a ( x ) dy/dx = Also, note the special case if the base of the logarithm is e Then y = lnx and dy/dx = Examples: Find the derivative of the given functions a) s ( t ) = ln(4 t 3 + 3 t + b 2 ) s ( t ) = b) F ( y ) = y ln(1+ e y ) note: the indep. var. is y (not what you’re used
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to seeing ; this problem is #12 on p.245) o F ( y ) = c) y = ln( x 4 sin 2 x ) note: #14 in our text p.245 dy dx = d) y = log 3 (2 - 7 x ) dy dx = II. The calculation of derivatives of complicated functions involving products, quotients, or powers can often be simplified by taking
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logarithms. The method is called “logarithmic differentiation”.
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This note was uploaded on 04/12/2008 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.

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Lecture 3_7MondayFeb18th - Monday, February 17 The week's...

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