This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: lim x → a f ( x )f ( a ) xa Example: Look back to example 2.2 page 107 with the slope of the tangent to the curve y = 2^x at point (0,1) Form 2 Slope of tangent line connecting points P and Q P(a, f(a)) and BUT let Q =(a+h, f(a+h)) Slope of secant line f ( a + h )f ( a ) a + ha = f ( a + h )f ( a ) h Slope of the tangent line at point P= (a, f(a)) lim h → f ( a + h )f ( a ) a Examples #16 Describing the two runners #20 Find the average velocities and instantaneous...
View
Full Document
 Spring '08
 Dempster
 Derivative, Rate Of Change, Slope

Click to edit the document details