Math252PDPractice

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

This preview shows pages 1–4. Sign up to view the full content.

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 ¯ ˜ ˜ +

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## 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.

### Page1 / 5

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online