This preview shows pages 1–12. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: (x) + cos (x) 2 2 f'(x) = 2*sin(x)*cos(x) 2 * cos(x) * sin(x) f(x) ~ f(0) + x*f'(0) + . .. ~ Taylor series Taylor series Taylor series: f(x) ~ f(c) + (xc)*f'(c) + (xc) *f''(c) +(xc) *f'''(c) + . .. ~ 2 3 3! 2! Taylor series f(x) = ln x at x = 1 f'(x) = 1/x = x1 f''(x) = x2 f'''(x) = 2x3 f(1) = 0 f'(1) = 1 f''(1) = 1 f'''(1) = 2 Taylor series f(x) = ln x at x = 1 f(1) = 0 f'(1) = 1 f''(1) = 1 f'''(1) = 2 f(x) = 0 + (x1) (x1) 2 + 2(x1) 3 2 3! 2 f(x) = 0 Taylor series Taylor series: f(x+h) ~ f(x) + h*f'(x) + h *f''(x) + h *f'''(x) + . .. ~ 2 3 3! 2!...
View
Full
Document
This note was uploaded on 10/21/2011 for the course CSCI 2031 taught by Professor Meyer during the Spring '08 term at Minnesota.
 Spring '08
 MEYER

Click to edit the document details