Class Note for MATH 124 at UA
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This 1 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Arizona taught by a professor in Fall. Since its upload, it has received 24 views.
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Date Created: 02/06/15
Alternative Proof of the Product Rule Theorem Suppose f and g are differentiable at m Then fg is differentiable at m and f9 90 WE 990 990 Hm Proof fx hgx h 7 WWW haO h f90 70990 h 7 f90 709W f90 709W 7 WWW haO h 1L1ltfh ltMgt 7 mi gm h i i uh 95 i i fmh7fx 7mflthgtmlt lmgwll f 4 0 give 7 cz gym 1 Micz yawz a Note that we have used the assumptions that f z and g m exist in the 2nd and 3rd to last equalities Also7 11110 fz h x because 1 is continuous at m which follows from the assumption that f is differentiable at m