NOMBRE DEL TRABAJO: EJERCICIOS DE CALCULO CORRESPONDIENTES AL LIBRO DE WILLIAM ANTHONY GRANVILLE...
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Transcript of NOMBRE DEL TRABAJO: EJERCICIOS DE CALCULO CORRESPONDIENTES AL LIBRO DE WILLIAM ANTHONY GRANVILLE...
NOMBRE DEL TRABAJO:
EJERCICIOS DE CALCULO CORRESPONDIENTES AL LIBRO DE WILLIAM ANTHONY GRANVILLE
NOMBRE DEL PROFESOR:
M.C RAMON SALVADOR SOLER HERNANDEZ
GRUPO:
2DO A
MATERIA:
CALCULO DIFERENCIAL E INTAGRAL
CUATRIMESTRE:
2DO CUATRIMESTRE
TURNO:
MATUTINO
EDIFICIO:
1 AULA NO 9 PLANTA BAJA
5 4 4
1) =
2) = 4a
3) Y= +5=
4) - 8 =
+8
5) y= · 2x = 10x
6) y= =
7) y= =
Y= =
Y= 3 ( =
Y= 3 =
Y= 3
Y=
8) y= = =
14.- S = ln
S´ = [ • b - • -b] - [ + ]
S´ = [ ] - [ ] =
15.- f(x) = x² ln x²
f´(x) = [x² • • 2x + ln x² + • 2x] = [2x + ln x² • 2x] = 2x(1 + ln x²)
f´(x) = 2x (1 + 2 ln x) 16.- y = enx
y´ = enx • n = nenx
17.- y = 10nx
y´= nx(10)xn-1 •0 + ln 10.0nx • n 18.- y = ex²
= ex² • 2x = 2x ex²
19.- y =
y´ = [ ] = =
20.- S =
S´= • =
21.- Z = b2y
= b2y ln b • (2y) Z´ = 2b2y ln b 22.- U = Ses
U´ = S • d ( )
U´ = S • es • 1 = u´= es (S+1)
28. - - ) = )
= [ . ( + ) + . 0] = ( )
In y= in + in - =
= ( - ) [ . ( + . ) ] = ( )
29. - y= =
=[ ] = =
In y= in - - in + = . ( ) - . ( )
In y=
= . =
30. - s= = =
= ] = =
31-. F (x) = in (x) =
(x) = . [
(x) = .
(x) = . = .
(x) =
32. - y= =
= x + . In x .1= + in x= (1+in x)
In y = x in x = [x. + in x .1] = = (1 + in x)
33.- y= =
= + in x = + =
In y= in x = [ . + In x. ] = [ + ]
= [ ] = ( )
34. - s= ( = ( (in -1)
In s= t in = [t. [ ] + in . 1] = ( (-1 + in )
= t ( . [ ] + ( in . 1 = - ( ) ( + ( in
= ( (-1 + in )
35.- y= = y [ + - ]
In y= in x + in 3x+a - in 2x+b
In y= + . . 3 - . . 2 = = y [ + - ]
1.- Y= in (a x + b)
= . = . a =
2.- Y= in (a + b)
= . 2ax =
3.- y= in (ax + b
= 2 in (ax + b)
= 2. . a =
4. - y= in a
= n . In ax = n [ . a] + in ax . O
= =
5. - y= in
= 3 in x = 3 . . 1 =
6. - y= I x [(In x ]
3 (in x . d (in x) = 3 (in x . =
7. - y= in n (2 - 3 + 4)
= . 6 - 6x = =
8. - y= log
= . [