16A-FinalSample2

16A-FinalSample2 - f 00 x and then • Find inflection points • Find concave up f 00> 0 and concave down f 00< 0 interval • Check that the

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

View Full Document Right Arrow Icon
Math 16A, Spring 2010 Final Sample 2 Analyze a function, and sketch the graph of that fct, means extract all the informations we can, by using the technique developed in this class. That’s the road map you may use. Domain x and y intercept Continuity (and classify disc. points) HA and VA derive the fct (find f 0 ( x )) and then Study differentiability Find critical points (keeping in mind the difference between the case f 0 ( c ) = 0 flat tg line, and f 0 ( c ) =undef. vertical tg line cusp or node) Find increasing ( f 0 > 0) and decreasing ( f 0 < 0) interval Individuate rel max and min by using first derivative test derive the fct two times (find
Background image of page 1

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

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

Unformatted text preview: f 00 ( x )) and then • Find inflection points • Find concave up ( f 00 > 0) and concave down ( f 00 < 0) interval • Check that the second derivative tests matches with the rel max and min you found previously Use these info the sketch the graph. 1 1. Analyze the function y = x 2 + 1 x 2-1 2. Analyze the function y = x √ x 2-9 3. Analyze the function y = cos 2 ( x )-x in the interval I = [0 , 6 π ], and find the abs extrema. 4. Find the slope of the tangent line to function f ( x ) = sin 2 ( πx 2 ) p cos ( πx ) in the point ( 1 2 ,f ( 1 2 )) 2...
View Full Document

This note was uploaded on 10/08/2010 for the course MATH 16A taught by Professor Sabalka during the Spring '08 term at UC Davis.

Page1 / 2

16A-FinalSample2 - f 00 x and then • Find inflection points • Find concave up f 00> 0 and concave down f 00< 0 interval • Check that the

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