Part I College Mudah
[Pages:3]Wardaya College
Turunan Trigonometri
01-12-02
Departemen Matematika
Mudah Part I
1. Jika r =
sin,
maka
dr d
= ...
Wardaya College (a) 1 2 sin
(b)
cos 2sin
(c) cos 2 sin
(d)
-sin 2cos
(e) 2cos sin
2. Turunan pertama dari y = cos4x adalah...
(a)
1 4
cos3x
(b)
-
1 4
? cos3x
(c) -4 ? cos3x
(d) -4cos3x ? sinx
(e) 4.cos3x ? sinx
3. Turunan pertama dari fungsi f (x) = 5 ? sinx ? cosx adalah...
(a) 5 ? sin2x (b) 5 ? cos2x (c) 5 ? sin2x ? cosx (d) 5 ? sinx ? cos2x (e) 5 ? sin2x ? cosx
4.
Turunan dari y =
sin2x 1+cos2x
= ...
(a) secx ? tanx
(b) cosec2x
(c)
3?sin2x+2?sin2 2x (1+cos2x)2
(d) sec2x
(e) cos2x
5. Jika f (x) = - cos2x - sin2x , maka f (x) adalah...
(a) 2(sinx + cosx) (b) 2(cosx - sinx) (c) sinx ? cosx (d) 2 ? sinx ? cosx (e) 4 ? sinx ? cosx
021-29336036 / 0816950875
1
Wardaya College
Departemen Matematika
Sedang Part II
1. Turunan pertama dari fungsi f (x) = (3x - 2) ? sin(2x + 1) adalah...
(a) 3 ? sin(2x + 1)+(6x - 4) ? cos(2x + 1)
(b) 3 ? sin(2x + 1)-(6x - 4) ? cos(2x + 1)
(c) 3 ? sin(2x + 1)+(3x - 2) ? cos(2x + 1)
(d) 3x ? sin(2x + 1)+(6x - 4) ? cos(2x + 1)
Wardaya College (e) 3x?sin(2x+1)-(6x-4)?cos(2x+1)
2.
Jika f (x) = x ? cosx, maka
f
(x +
2
)
=
...
(a)
-sinx
-
x
?
cosx+
2
cosx
(b)
-sinx - x ? cosx -
2
cosx
(c)
-sinx + xcosx -
2
cosx
(d)
sinx + x ? cosx +
2
cosx
(e)
cosx + xsinx +
2
sinx
3.
Jika f (x) = a ? tanx + bx,
f
(
4
)
=
3,
dan f
(
3
)
=
9,
nilai
(a + b) = ...
(a) 0
(b) 1
(c)
2
(d) 2
(e)
4. Jika f (x) = e2x ? sinx , maka f (0) = ...
(a) -1 (b) 0 (c) -2 (d) 1 (e) 2
5.
Diketahui f (x) =
sin2 x 1+cos2 x
,
maka nilai f
4
= ...
(a)
1 9
(b)
4 3
(c) 1
(d) 2
(e)
8 9
021-29336036 / 0816950875
2
Wardaya College
Departemen Matematika
Sukar Part III
1. Diketahui cos3y = tan2x, nilai y = ...
(a)
tan2x cos3y
(b)
2x ?
tan2x cos3y
(c)
-
2?sec2 2x 3?sin3y
Wardaya College (d)
sec2 2x sin3y
(e)
-
2?sec2 2x cos3y
2. Jika cos2(x + y) = b, maka y = ...
(a) -2 (b) -1 (c) 0 (d) 1
(e) tak dapat ditentukan
3. Turunan pertama dari f (x) = ln
1+sinx cosx
adalah...
(a) sinx (b) cosx (c) tanx (d) secx (e) cosecx
4. Jika f (x) = sin2x, maka lim k ? f
k
x
+
1 k
- f (x)
= ...
(a) sin2x (b) 2 ? sin2x (c) cos2x (d) 2 ? cos2x (e) sin2x - cosx
5. Jika diketahui cosxy - sinxy = 2x - y2, maka y = ...
(a)
2+y?sinxy+y?cosxy 2y-x?sinxy-x?cosxy
(b)
y?sinxy+y?cosxy 2y-x?sinxy-x?cosxy
(c)
2+y?sinxy+y?cosxy 2y+x?sinxy+x?cosxy
(d)
2-y?sinxy-y?cosxy 2y+x?sinxy+x?cosxy
`
(e)
2+y?sinxy+y?cosxy y+x?sinxy-x?cosxy
021-29336036 / 0816950875
3
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