differentiation

differentiation - Review of the Method of Differentiation...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Review of the Method of Differentiation Notes by C. Ho I The Basic Cases - Ñœ! HÐBÑœ8B BB 88 " B Ñœ B B Ñœ B B B B # sin cos cos sin tan sec H Ð BÑœ B B BÑœ  B B B B # sec sec tan csc csc cot cot csc HÐ/Ñœ/ HÐ B HÐ+Ñœ+ + B " B ln ln II Algebraic Combinations H Ð-0ÐBÑÑ œ -H Ð0ÐBÑÑ H Ð0ÐBÑ „ 1ÐBÑÑ œ H 0ÐBÑ „ H 1ÐBÑ B H Ð0ÐBÑ † 1ÐBÑÑ œ ÐH 0ÐBÑÑ † 1ÐBÑ  0ÐBÑ † ÐH 1ÐBÑÑ B B 0ÐBÑ 1ÐBÑ Š‹ ÐH 0ÐBÑц1ÐBÑ0ÐBцÐH 1ÐBÑÑ Ð1ÐBÑÑ # III The Chain Rule If and are both differentiable and then 0 1 JÐBÑ œ 0Ð1ÐBÑÑß J ÐBÑ œ 0 Ð1ÐBÑÑ † 1 ÐBÑß ww w or if and are both differentiable, then C œ 0Ð?Ñ ? œ 1ÐBÑ .C .B .? œ† IV Implicit Differentiation Differentiate both sides of the equation with respect to the independent variable and apply the Chain Rule for B expressions in the dependent variable . C Example : Find in CB C œ ' B C Þ w$$ Differentiate both sides and treat as a function of to get
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

differentiation - Review of the Method of Differentiation...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online