Lecture 3_7MondayFeb18th

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

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

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

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

View Full Document
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
logarithms. The method is called “logarithmic differentiation”.

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.

{[ snackBarMessage ]}

### Page1 / 4

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

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

View Full Document
Ask a homework question - tutors are online