R2ps - Chapter 2 Derivatives and differentiation. (Review)...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 2 Derivatives and differentiation. (Review) Stephen Suen Chapter 2 Derivatives and differentiation – p. 1/1 5
Background image of page 1

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

View Full DocumentRight Arrow Icon
2.1 The derivative and its mean- ing The slope of a secant line vs. the slope of a tangent line. The average rate of change vs. the instantaneous rate of change. See also §2.3. The definition of the derivative f ( x ) of a function f . Finding the derivative using the limit definition. Chapter 2 Derivatives and differentiation – p. 2/1 5
Background image of page 2
2.2 Basic rules of differentiation The simple power rule: d dx x r = r x r 1 . The constant rule: d dx c = 0 . Differentiating a constant gives a 0 . The constant multiple rule: d dx ( c f ( x )) = c d dx f ( x ) . Constant multiple stays. Term-by-term differentiation is ok. Chapter 2 Derivatives and differentiation – p. 3/1 5
Background image of page 3

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

View Full DocumentRight Arrow Icon
2.3 Rates of change, marginals Recall: Average rate of change vs. instantaneous rate of change. Marginal revenue, marginal cost and marginal profit. The meaning of the marginals. Exercise 42. Chapter 2 Derivatives and differentiation – p. 4/1 5
Background image of page 4
rules The product rule: d dx [( 1st )( 2nd )] = ( 1st ) × ( 2nd ) + ( 1st ) × ( 2nd ) .
Background image of page 5

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

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/02/2012 for the course MAC 2233 taught by Professor Danielyan during the Fall '08 term at University of South Florida - Tampa.

Page1 / 15

R2ps - Chapter 2 Derivatives and differentiation. (Review)...

This preview shows document pages 1 - 6. Sign up to view the full document.

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