Derivatives_Intro_Notes_912_to_913

# Derivatives_Intro_Notes_912_to_913 - ’ Section 2.1'—...

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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“; liq-e F___m_~.,___.______.. SIRE-e 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 AP-AB 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 :ELLﬁPanLx-tax) r9CX+ox)+v es— ﬂ-‘r 11M ﬂair-wax .. 3mg +4 —_Z_'(—X7: . ﬁg“ mt) -~ Hy} m,__,rr,,__ Alva b g / ¥'(><)=I.h \$13643! 5"" M? Clot): m 1/762"... apt-3.x +_- + 2:: AK rm - an bx: . _W “a. _ ° —_AX - 'ﬁtthJﬂ'CH-wxww : L‘LLluox-B) by," N 5X70 _ [#Mﬁwﬁ HQ g (1-) usng 1”» silk/rude £01m a} .44.... MAM-Hue 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%?!" Una-u...“— I) avg 01% cowl-Inwi‘i'a, C5UWJNWI4Q)Q\$‘1&M) ‘2.) Shavp'fmnrs (SI—09% mm 4;» mm and «ﬁr-omit? Mm {Hm elm-dim) ...
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## 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.

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Derivatives_Intro_Notes_912_to_913 - ’ Section 2.1'—...

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