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 Document
Unformatted text preview: 9/13/2011 ’ September 12, 2011
[ Section 2.1 '— iObjective: Find derivatives Definition of a tangent line
Slope of a line Slope of the secant line
Slope of the tangent line
Definition of the derivative 1 Tangent line to a curve Raﬁ“; liqe F___m_~.,___.______.. SIREe of the Secant i
‘ (c + Ax) ~— c I 9/13/2011 9/13/2011' Ehgdgrivétive =? 910519. mt * m): Hmw 1
l
g Mai) Ax 1
i
I 9/13/2011 I Calculus APAB i
 i
I September 13, 2011 Section 2.1 l
I i Objective: Find derivatives at 1:90“ 9/13/2011 Alternate form of the 1 derivative .¥“>C' x —— C i f '(c) = lim
!
i I Alternate form of the 1]
1 derivative This form is useful when all you need is the
slope at one point. You must know the paint. This form is sometimes easier to evaluate and
is required for piecewise functions. Useful in investigating the relationship
between differentiability and continuity. FIN" 5‘02!) (aim 460: x11 5X*‘f b3 W... 1.1.3 :ELLﬁPanLxtax) r9CX+ox)+v
es— ﬂ‘r 11M ﬂairwax .. 3mg +4 —_Z_'(—X7: . ﬁg“ mt) ~ Hy} m,__,rr,,__
Alva b g / ¥'(><)=I.h $13643! 5""
M? Clot): m 1/762"... apt3.x +_ + 2:: AK rm  an
bx: .
_W “a. _ ° —_AX  'ﬁtthJﬂ'CHwxww : L‘LLluoxB) by," N 5X70 _ [#Mﬁwﬁ HQ g (1) usng 1”» silk/rude £01m a} .44.... MAMHue U __C'_($):: 9U)g(1)_§_ I3“ 251,3)L+Lf.—2.
is: is” 1"" )t“L 39335 ‘H—& du'mﬁrc alga Qtyg'h
Qua *3 2%?!" Unau...“— I) avg 01% cowlInwi‘i'a, C5UWJNWI4Q)Q$‘1&M) ‘2.) Shavp'fmnrs
(SI—09% mm 4;» mm and «ﬁromit?
Mm {Hm elmdim) ...
View
Full
Document
This note was uploaded on 09/19/2011 for the course CALCULUS 1431 taught by Professor All during the Fall '11 term at University of Houston.
 Fall '11
 all
 Derivative

Click to edit the document details