DIFFERENTIAL CALCULUS, Study notes of Differential and Integral Calculus

Download DIFFERENTIAL CALCULUS and more Study notes Differential and Integral Calculus in PDF only on Docsity!

DIFFLR > [DIFFERENTIAL CALCULUS > IS A BRANCH OF MATIEMATICS WHICH ENTIAL CALCULUS ENGR. ELAINE KRYSTEL R. ABUAN » FOES POTS coup, 3. SUM OR DIFFERENCE OF TWO OR MORE FUNCTIONS i DEALS WT PERWATES Af Limes. um TEs gy] = um [F@] + em [gd] +[DERNATIVE-> RATE OF CHANGE OF A FUNCTION wit RESPECT 70 pe xa a x3 A CHOSEN INPUT VALUE ( INDEPENDENT VALUE). + PDIFFERAMIATION!> PROCESS OF TAKIIG THE DERIVATIVE OF A 4. PRODUCT OF TWO OR MORE FUNCTOMS FUNCTION. uo [00.900] © Lm [soo] + ™ [ae] yf Lr OF ‘A FUNCTION! Xa x2a Xa a THE UMIT OF A FUNCTION is THE VALUE A FUNCTION APPROACHES As THE VARIABLE APPROACIES A VALUE. J. GUONENT OF Two OR MORE FUNCTOUS uma $00) = 4) um §Q) + a mo FF ma —— CeF ) = - gl) ia C2) K Lim ; JHE STATEMENT DEFINES THE UMIT oF A Funcnon FG) aoa lal At A poltt a. L oS THE VALUE THAT THE FUNCTION HAS AS TUE POINT © 1S APPROACHED. » [THEOREMS OF Limns a.jLimir OF A CONSTANT £ The Limit o um $(@) = Lb x>K a. DIMMS OF A CONSTANT ee A PUNCTON um kL4@)] = x>Qa G¢. Luar oF is ROOT OF A “FuUUCTON Lot {i = * froma $) IF A CONSTANT |S ITSELF xq Xxwa WHEN n tS A POSMVE INTEGER > \NCETERMINATE FORMS — IF THE EXPRESSION O@TAMED AFTER SUBSTITUTING THE UniT To A GIVEN uICcTION OOS HOT GIVE FNOUGH INFORMATION To DETERMINE THE ORIGINAL LiMn. 40° 4 lo H. 0o/, ca eum [$09] ° x23a 1A r CO- DD A i. db b. OO.