Math252PDPractice

Math252PDPractice - Find y of the following(remember x acts...

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Find y of the following (remember, x acts like a constant): 1 2 3 4 5 2 2 2 32 12 23 ) ) ) ln ) cos ) tan ( ) ey ye y y xy xy x xy x Ê Ë Á Á ˆ ¯ ˜ ˜ - 6 7 8 3 3 22 ) sin ) sin )ln y y Ê Ë Á Á ˆ ¯ ˜ ˜ +
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Answers (not necessarily simplified): 12 22 2 2 2 2 3 2 23 )( ) ) () = =+ Ê Ë Á Á ˆ ¯ ˜ ˜ Ê Ë Á Á Á ˆ ¯ ˜ ˜ ˜ Ê Ë Á Á ˆ ¯ Ê Ë Á Á Á Á y ey e y y ye y e y xy xx x x x acts like a constant multiplier for 2 3 3 y Ê Ë Á Á ˆ ¯ ˜ ˜ Ê Ë Á Á Á Á ˆ ¯ ˜ ˜ ˜ ˜ Product rule and chain rule
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3 2 1 4 2 2 2 32 2 ) ln (ln )( ) ln ) cos cos = - ∑∑ = Ê Ë Á Á Á ˆ ¯ ˜ ˜ ˜ Ê Ë Á ˆ ¯ ˜ Ê Ë Á Á ˆ ¯ ˜ ˜ Ê Ë Á ˆ ¯ ˜ Ê Ë Á ˆ ¯ ˜ Ê Ë Á Á ˆ ¯ ˜ ˜ Ê Ë Á ˆ ¯ ˜ Ê Ë Á Á ˆ ¯ ˜ y y y yy y y y y xy y xy Quotient rule: Lo D(Hi)-Hi D(Lo) Square of below As in 2), write y if you need the chain rule. ˜ È Î Í Í Í Í ˘ ˚ ˙ ˙ ˙ ˙ Ê Ë Á ˆ ¯ ˜ Ê Ë Á Á ˆ ¯ ˜ ˜ Ê Ë Á ˆ ¯ ˜ Ê Ë
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This note was uploaded on 09/08/2011 for the course MATH 252 taught by Professor Staff during the Spring '11 term at Mesa CC.

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Math252PDPractice - Find y of the following(remember x acts...

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