MATH 1004 Lecture Notes - Lecture 4: List Of Trigonometric Identities, International Six Days Enduro, Quotient Rule

• School: Carleton University
• Department: Mathematics
• Course: MATH 1004
• Professor: Glenn Mc Rae

Document Summary

Math1004 y y0 = m(x x0) where f (x0 + h) f (x0) derivative of f at x0: derivatives. Tangent to a curve : m = lim h 0: notation for derivatives: f(cid:48)(x0), h df dx (x0), dxf (x0), df (x0) The instantaneous rate of change of f at x = x0. Note: if the limit as h 0 does not exist as a two-sided limit or it is in nite we say that the derivative does not exist. Examples: find the slope of tangent at x = 2 for y = 1 x, find derivatives of f (x) = |x| at x = 0. In general: f(cid:48)(x0) = lim h 0 f (x0 + h) f (x0) h. The slope of the tangent line at x = x0. The instantaneous rate of change of f at x = x0. whenever two-sided limit exists and is nite.