Expression 11: 3 times left bracket, left parenthesis, negative sin "x" , right parenthesis times StartFraction, 1 Over "e" Superscript, "x" , Baseline , EndFraction plus cos left parenthesis, "x" , right parenthesis times "e" Superscript, negative "x" , Baseline times StartFraction, "d" Over "d" "x" , EndFraction left parenthesis, negative "x" , right parenthesis , right bracket plus 3cosine left parenthesis, "x" , right parenthesis3·−sinx·1ex+cosx·e−x·ddx−x+3cosx
11
Expression 12: 3 times left bracket, negative StartFraction, sin "x" Over "e" Superscript, "x" , Baseline , EndFraction plus cos left parenthesis, "x" , right parenthesis times StartFraction, 1 Over "e" Superscript, "x" , Baseline , EndFraction times left parenthesis, negative 1 , right parenthesis , right bracket plus 3cosine "x"3·−sinxex+cosx·1ex·−1+3cosx
12
Expression 13: 3 times left bracket, negative StartFraction, sin "x" Over "e" Superscript, "x" , Baseline , EndFraction minus StartFraction, cos "x" Over "e" Superscript, "x" , Baseline , EndFraction , right bracket plus 3cosine "x"3·−sinxex−cosxex+3cosx
13
Expression 14: 3 left parenthesis, cos "x" minus StartFraction, sin "x" plus cos "x" Over "e" Superscript, "x" , Baseline , EndFraction , right parenthesis3cosx−sinx+cosxex
14
Tangent og sekant
Hide this folder from students.
15
Sekantens hældning
Hide this folder from students.
20
→ tangentens, når h → 0:
21
Expression 22: "h" equals 7.2 3h=7.23
10 to the negative 6th power10−6
1010
22
Expression 23: "a" Subscript, "s" , Baselineas
equals=
0.2 3 1 7 0 7 7 3 7 8 2 10.231707737821
23
Expression 24: "a" Subscript, "t" , Baselineat
equals=
0.5 7 7 3 1 8 2 1 3 6 8 90.577318213689
24
Punkter
Hide this folder from students.
25
33
powered by
powered by
left parenthesis, "x" Subscript, 0 , Baseline , "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesisx0,fx0
left parenthesis, "x" Subscript, 0 , Baseline plus "h" , "f" left parenthesis, "x" Subscript, 0 , Baseline plus "h" , right parenthesis , right parenthesisx0+h,fx0+h