Calculus 1000A/B Lecture 17: Calculus 1000 A -Lecture 17- Section 2.8

• School: Western University
• Department: Calculus
• Course: Calculus 1000A/B
• Professor: Kiriushcheva

Document Summary

Calculus 1000a lecture 17 - section 2. 8- derivative as a function. Let (cid:858)h(cid:859) = x-a or x = a + h. then h 0 when x a. Definition: a function is differentiable at x=a if f(cid:859)(cid:894)a(cid:895) exists: we can now introduce an important theorem: Example 1: determine if the absolute value function is differentiable at x=0 (cid:1877)=|(cid:1876)| (cid:1876),(cid:1858) (cid:1876) (cid:882); (cid:1876),(cid:1858) (cid:1876)