{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

handout_09_30

# handout_09_30 - 1 On which intervals is g x continuous 2 On...

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

The derivative function September 30, 2009 1. Let f ( x ) = x ( x - 1)( x - 2) = x 3 - 3 x 2 + 2 x. Determine f 0 ( x ) using the limit deﬁnition. Sketch f ( x ) and f 0 ( x ), and compare the graphs. 2. Let h ( x ) = | x - 1 | + | x + 1 | . On what intervals is h ( x ) continuous? What about diﬀerentiable? Sketch h ( x ) and its derivative. Do the same for i ( x ) = x . 1

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

View Full Document
3. The graph of the function g ( x ) is shown below.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1. On which intervals is g ( x ) continuous? 2. On which intervals is g ( x ) diﬀerentiable? 3. Sketch the derivative g ( x ) on the axes below.-2-1.5-1-0.5 0.5 1 1.5 2 x-2-1.5-1-0.5 0.5 1 1.5 2 y-2-1.5-1-0.5 0.5 1 1.5 2 x-2-1.5-1-0.5 0.5 1 1.5 2 y 2...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

handout_09_30 - 1 On which intervals is g x continuous 2 On...

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

View Full Document
Ask a homework question - tutors are online