Quiz about USAS Ganjil Matematika Lanjut Kelas XII

Question 1

Nilai dari $$\lim_{x\rightarrow0}\ \ \ \left(3x-2\right)$$ adalah . . . .

Accepted Answer

-2

Answer

0

Answer

1

Answer

2

Answer

3

Question 2

Nilai dari $$\lim_{x\rightarrow-1}\ \ \left(\frac{2x^2-3x+1}{4x+5}\ \right)\ $$ adalah . . . .

Accepted Answer

6

Answer

0

Answer

1

Answer

2

Answer

4

Question 3

Nilai dari $$\lim_{x\rightarrow3}\ \left(\ \frac{x^2-5x+6}{x-3}\ \right)\ $$ adalah . . . .

Accepted Answer

1

Answer

2

Answer

3

Answer

0

Answer

-1

Question 4

Nilai dari $$\lim_{x\rightarrow\infty}\ \left(x^2-1\right)$$ adalah . . . .

Accepted Answer

$$\infty$$

Answer

0

Answer

2

Answer

-1

Answer

$$-\infty$$

Question 5

Nilai dari $$\lim_{x\rightarrow-\infty}\ \left(\frac{4x^4-7x^2}{2x^2+5x}\right)$$ adalah . . . .

Accepted Answer

$$-\infty$$

Answer

0

Answer

$$\infty$$

Answer

2

Answer

1

Question 6

Nilai dari $$\lim_{x\rightarrow\infty}\ \left(\frac{6x^2-7x-3}{2x^2+4x}\right)$$ adalah . . . .

Accepted Answer

3

Answer

0

Answer

$$-\infty$$

Answer

$$\infty$$

Answer

1

Question 7

Nilai dari $$\lim_{x\rightarrow-\infty}\ \left(\frac{8x^2-3x}{4x^5+4x^3-5}\right)$$ adalah . . . .

Accepted Answer

0

Answer

$$-\infty$$

Answer

$$\infty$$

Answer

2

Answer

1

Question 8

Nilai dari $$\lim_{x\rightarrow\infty}\ \left(\frac{\sqrt[]{4x^2-3x}}{2x+5}\right)$$ adalah . . . .

Accepted Answer

1

Answer

0

Answer

$$-\infty$$

Answer

$$\infty$$

Answer

2

Question 9

Nilai dari $$\lim_{x\rightarrow\infty}\ \left(\frac{2x^4-4x}{\sqrt[]{4x^4-2x^2}}\right)$$ adalah . . . .

Accepted Answer

$$\infty$$

Answer

0

Answer

$$-\infty$$

Answer

2

Answer

1

Question 10

Nilai dari $$\lim_{x\rightarrow-\infty}\ \left(\frac{\sqrt[]{9x^2-8x+1}}{3x^2+6x}\right)$$ adalah . . . .

Accepted Answer

0

Answer

$$-\infty$$

Answer

$$\infty$$

Answer

3

Answer

1

Question 11

Nilai dari $$\lim_{x\rightarrow0}\ \left(\sin\ x\ +\ \cos\ x\right)$$ adalah . . . .

Accepted Answer

1

Answer

0

Answer

-2

Answer

-1

Answer

2

Question 12

$$\lim_{x ightarrow\ \frac{\pi}{4}}\ \ \left( an\ x\ +\sin\ 2x ight)$$

Accepted Answer

2

Answer

0

Answer

3

Answer

1

Answer

-1

Question 13

Nilai dari $$\lim_{x ightarrow0}\ \ \left(\frac{\sin\ 8x- an\ 2x}{3x} ight)$$ adalah . . . .

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Answer

6

Question 14

Nilai dari $$\lim_{x ightarrow0}\ \ \left(\frac{\ 4x}{ an\ \frac{1}{2}x} ight)$$ adalah . . . .

Accepted Answer

8

Answer

2

Answer

4

Answer

6

Answer

0

Question 15

$$\lim_{x ightarrow0\ }\ \left(\frac{3x\ .\ \sin^2\ 4x\ \ }{\sin\ 2x\ .\ an^2\ 2x} ight)$$ adalah . . . .

Accepted Answer

6

Answer

12

Answer

-6

Answer

3

Answer

0

Question 16

Nilai dari $$\lim_{x ightarrow0}\ \left(\frac{3x\ .\ an\ 4x}{\cos\ 4x\ -\cos\ 2x} ight)$$ adalah . . . .

Accepted Answer

-2

Answer

-4

Answer

0

Answer

2

Answer

6

Question 17

Nilai dari $$\lim_{x\rightarrow0}\ \ \left(\frac{\cos\ 6x-1}{3x\ \sin\ 2x}\right)$$ adalah . . . .

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

Answer

0

Question 18

Turunan pertama dari $$f(x)=3x^4+5$$ adalah . . . .

Accepted Answer

$$12x^3$$

Answer

$$4x^3$$

Answer

$$12x^4$$

Answer

$$4x^3+5$$

Answer

$$12x^3+5$$

Question 19

Turunan kedua dari $$f\left(x\right)$$ adalah $$f$$ . Jika diketahui $$f(x)=x^4-2x^2+2x$$ , maka $$f$$ adalah . . . .

Accepted Answer

$$12x^2-4$$

Answer

$$4x^3-4x+2$$

Answer

$$4x^3-4x$$

Answer

$$12x^2+4$$

Answer

$$12x^2-4x$$

Question 20

Perhatikan pernyataan berikut.

1. $$f$$
2. $$f(-1)=5$$
3. $$f$$
4. $$f$$
5. $$f$$
Jika $$f(x)=4x^2-3x+4$$ , maka pernyataan yang benar adalah . . . .

Accepted Answer

1, 4, dan 5

Answer

1 , 2 , dan 3

Answer

1 dan 4

Answer

2 , 3 , dan 5

Answer

4 dan 5

Question 21

Diketahui $$f(x)=2x^3\left(3x^2+6x\right)$$ . Jika $$f$$ merupakan turunan kedua dari $$f\left(x\right)$$ , maka $$f$$ adalah . . . .

Accepted Answer

$$120x^3-48x^2$$

Answer

$$120x^3+36x^2$$

Answer

$$12x^3$$

Answer

$$6x^2\left(6x+2\right)$$

Answer

$$72x$$

Question 22

Diketahui $$f(x)=3x^2\ .\ \ 5x$$ . Jika $$f$$ merupakan turunan pertama dari $$f\left(x\right)$$ , maka $$f$$ adalah . . . .

Accepted Answer

$$45x^2$$

Answer

$$6x\ .\ 5$$

Answer

$$6x+5$$

Answer

$$30x$$

Answer

$$45x^3$$

Question 23

Turunan pertama dari $$f\left(x\right)=\frac{2x+5}{4x}$$ adalah . . . .

Accepted Answer

$$-\frac{5}{4x^2}$$

Answer

$$\frac{16x-20}{4x^2}$$

Answer

$$\frac{16x+20}{4x^2}$$

Answer

$$\frac{5}{4x^2}$$

Answer

$$-\frac{20}{4x^2}$$

Question 24

Turunan pertama dari $$f\left(x\right)=\left(4x+2\right)^3$$ adalah . . . .

Accepted Answer

$$12(4x+2)^2$$

Answer

$$8(4x+2)^3$$

Answer

$$16(4x+2)^3$$

Answer

$$3(4x+2)^2$$

Answer

$$12(4x+2)^3$$

Question 25

Turunan pertama dari $$f\left(x\right)=\left(3x^2+5x\right)^4$$ adalah . . . .

Accepted Answer

$$f$$

Question 26

Turunan pertama dari $$f(x)=\operatorname{cosec}x$$ adalah . . . .

Accepted Answer

$$-\operatorname{cosec}x\ .\operatorname{cotan}\ x$$

Answer

$$-\operatorname{cosec}^2\ x$$

Answer

$$\sec x. an x$$

Answer

$$\operatorname{cosec}x.\operatorname{cotan}x$$

Answer

$$\sec^2x$$

Question 27

Diketahui $$f\left(x\right)=\cos\ 5x$$ . Jika $$f$$ merupakan turunan pertama dari $$f\left(x\right)$$ , maka $$f$$ adalah . . . .

Accepted Answer

Answer

Answer

Answer

sin 5x

Answer

5 sin 5x

Question 28

Turunan pertama dari $$f\left(x\right)=2x-\operatorname{cotan}\ 3x$$ adalah . . . .

Accepted Answer

2 + 3 cosec²3x

Answer

2 - 3 cosec²3x

Answer

2 - 3 cotan 3x

Answer

5 cosec²3x

Answer

5 cosec 3x . cotan 3x

Question 29

Turunan pertama dari $$f\left(x\right)=\operatorname{cosec}\ 2x+2\ \sin\ 3x$$ adalah . . . .

Accepted Answer

-2 cosec 2x cotan 2x + 6 cos 3x

Answer

2 cosec 2x cotan 2x + 6 cos 3x

Answer

2 cosec² 2x + 6 sin 3x

Answer

-2 cosec 2x cotan 2x + 2 cos 3x

Answer

- cosec 2x cotan 2x + 6 cos 3x

Question 30

Jika diketahui $$f\left(x\right)=\sin2x$$ , maka pernyataan berikut yang benar, kecuali . . . .

Accepted Answer

$$f$$

Answer

$$f(0)=0$$

Question 31

Turunan pertama dari $$f\left(x\right)=\sin x\ .\ \cos2x$$ adalah . . . .

Accepted Answer

$$f$$

Question 32

Turunan pertama dari $$f\left(x\right)=\frac{3x}{\sec\ 2x}$$ adalah . . . .

Accepted Answer

$$f$$

Question 33

Turunan pertama dari $$f\left(x\right)=\sin\ \left(2x-3\right)$$ adalah . . . .

Accepted Answer

2 cos (2x - 3)

Answer

- cos (2x - 3)

Answer

-2 cos (2x - 3)

Answer

3 cos (2x - 3)

Answer

cos (2x - 3)

Question 34

Turunan pertama dari $$f\left(x\right)=2\cos^3\ \left(3-4x\right)$$ adalah . . . .

Accepted Answer

$$24\cos^2(3-4x)\sin(3-4x)$$

Answer

$$-24\cos^2(3-4x)\sin(3-4x)$$

Answer

$$18\cos^2(3-4x)\sin(3-4x)$$

Answer

$$6\cos^2(3-4x)\sin(3-4x)$$

Answer

$$-6\cos^2(3-4x)\sin(3-4x)$$

Question 35

Turunan pertama dari $$f\left(x\right)=2\sec^4\left(2x-\pi\right)$$ adalah . . . .

Accepted Answer

$$16\sec^{4\ }(2x-\pi) an(2x-\pi)$$

Answer

$$16\sec^{3\ }(2x-\pi) an(2x-\pi)$$

Answer

$$16 an(2x-\pi)$$

Answer

$$8\sec^4\ (2x-\pi) an(2x-\pi)$$

Answer

$$8\sec^3\ (2x-\pi) an(2x-\pi)$$

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