turunan trigonometri bilingual
DESCRIPTION
TRANSCRIPT
TURUNAN / DEFERENSIAL
AdaptjikaHal.: 3 adalahi dengan Judul Halaman Terkait
Turunan atau deferensial
Standar KompetensiMenggunakan konsep limit fungsi dan turunan fungsi dalam pemecahan masalah.
IndikatorMenentukan berbagai turunan fungsi trigonometri
Kompetensi Dasar
Menggunakan konsep dan aturan turunan dalam perhitungan turunan fungsi
Adaptjika
Competence StandardUsing function limit concept and function differential in problem solving.
IndicatorDefine the kinds of differential in trigonometric function
Basic Competence
Using the concept and rules of differential in counting function differential
DIFFERENTIAL
Adaptjika
TURUNAN / DEFERENSIAL
1. Jika , maka
2. Jika , maka
3. Jika , maka
xy sin
xy cos xdx
dyy sin'
xdx
dyy cos'
xy tan xdx
dyy 2sec'
Rumus – rumus turunan fungsi trigonometri
Adaptjika
The Formula of Differential in Trigonometric Function
1. If , then
2. If , then
3. If , then
xy cos xdx
dyy sin'
xy sin xdx
dyy cos'
xy tan xdx
dyy 2sec'
Adaptjika
Contoh 1
xxy sin2Carilah turunan fungsi trigonometri
Jawab
Misalkan
Maka,
xuxu 2'2 xvxv cos'sin
''' uvvuy ))(cos())(sin2( 2 xxxx xxxx cossin2 2
TURUNAN / DEFERENSIAL
Adaptjika
Example 1
xxy sin2Find the differential of trigonometric function
Answer
For example
then,
xuxu 2'2 xvxv cos'sin
''' uvvuy ))(cos())(sin2( 2 xxxx xxxx cossin2 2
DIFFERENTIAL
Adaptjika
Contoh 2
Jawab
xxxy 3sin6cos5sin Carilah turunan fungsi trigonometri
)3)(cos3()6sin)(6(5cos)5(' xxxy xxxy 3sin6cos5sin
xxxy 3cos36sin65cos5'
TURUNAN / DEFERENSIAL
Adaptjika
xxxy 3sin6cos5sin
Example 2
Find the differential of trigonometric function
Answer
)3)(cos3()6sin)(6(5cos)5(' xxxy xxxy 3sin6cos5sin
xxxy 3cos36sin65cos5'
DIFFERENTIAL
Adaptjika
Contoh 3
xy tanCarilah turunan fungsi trigonometri
2)(
'''
v
uvvuy
xuxu cos'sin
xvxv sin'cos
Misalkan
TURUNAN / DEFERENSIAL
Jawabx
xxycos
sintan
Adaptjika
Example 3
xy tanFind the differential of trigonometric function
Answerx
xxycos
sintan
xuxu cos'sin
xvxv sin'cos
2)(
'''
v
uvvuy
For example
DIFFERENTIAL
Adaptjika
2)(cos
)sin)((sin))(cos(cos
x
xxxx
x
xx2
22
cos
sincos
xxx cos
1.
cos
1
cos
12
xx sec.sec
x2sec
Lanjutan
TURUNAN / DEFERENSIAL
Adaptjika
2)(cos
)sin)((sin))(cos(cos
x
xxxx
x
xx2
22
cos
sincos
xxx cos
1.
cos
1
cos
12
xx sec.sec
x2sec
Continuation
DIFFERENTIAL