Quiz about PSAS Matematika Peminatan Kelas XII

Question 1

Nilai dari $$\lim_{x\rightarrow0}\ \frac{\sin\ 9x}{3x}$$ adalah ...

Accepted Answer

3

Answer

0

Answer

1

Answer

6

Answer

9

Question 2

Nilai dari $$\lim_{x\rightarrow\ \frac{\pi}{4}}\ \frac{\sin\ \left(3x-\frac{\pi}{2}\right)}{3x-\frac{\pi}{2}}$$ adalah ...

Accepted Answer

1

Answer

0

Answer

3

Answer

6

Answer

9

Question 3

Nilai dari $$\lim_{x ightarrow0}\ \frac{ an\ 8x\ \cdot an\ 3x}{2x\ \cdot an\ x}$$ adalah ...

Accepted Answer

12

Answer

$$\frac{3}{2}$$

Answer

$$\frac{8}{3}$$

Answer

4

Answer

8

Question 4

Nilai dari $$\lim_{x\rightarrow1}\ \frac{\left(3x+1\right)\ \sin\left(x-1\right)}{x^2+2x-3}$$ adalah ...

Accepted Answer

1

Answer

-1

Answer

0

Answer

3

Answer

6

Question 5

Nilai dari $$\lim_{x\rightarrow\ \frac{\pi}{2}}\ \frac{\cos2x}{\cos x-\sin x}$$ adalah ...

Accepted Answer

1

Answer

0

Answer

$$\frac{1}{2}$$

Answer

2

Answer

$$\frac{1}{2}\sqrt[]{2}$$

Question 6

Turunan dari $$f\left(x\right)=x^2\cdot\sin x$$ adalah ...

Accepted Answer

$$2x\sin x+x^2\cos x$$

Answer

$$x\sin x+x^2\cos x$$

Answer

$$x^2\sin x+x^2\cos x$$

Answer

$$x\sin x+2x^2\cos x$$

Answer

$$x^2\sin x+2x^2\cos x$$

Question 7

Jika $$f\left(x\right)=\cos x\cdot\sin2x$$ , maka $$f$$ adalah ...

Accepted Answer

$$-\frac{1}{2}\ \sqrt[]{2}$$

Answer

$$-\frac{1}{2}\ \sqrt[]{3}$$

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{2}\ \sqrt[]{3}$$

Question 8

Jika $$y=2\cos\left(x^2-2x\right)$$ , maka $$\frac{dy}{dx}$$ adalah ...

Accepted Answer

$$\left(4-4x\right)\sin\left(x^2-2x\right)$$

Answer

$$4x\sin\left(x^2-2x\right)$$

Answer

$$4\sin\left(x^2-2x\right)$$

Answer

$$\left(4+4x\right)\sin\left(x^2-2x\right)$$

Answer

$$\left(4x-4\right)\sin\left(x^2-2x\right)$$

Question 9

Jika $$g\left(x\right)=2\sin^3\left(3x-2\pi\right)$$ , nilai $$g$$ = ...

Accepted Answer

0

Answer

18

Answer

6

Answer

3

Answer

1

Question 10

Turunan pertama dari $$f\left(x ight)=2 an^2x+2 an x^2$$ adalah ...

Accepted Answer

$$4 an x\sec^2x+4x\sec^2x^2$$

Answer

$$4 an x\sec^2x+2x\sec^2x^2$$

Answer

$$2 an x\sec^2x+4x\sec^2x^2$$

Answer

$$2 an x\sec^2x+2x\sec^2x^2$$

Answer

$$2 an x\sec^2x+x\sec^2x^2$$

Question 11

Turunan dari $$\cot\ y=x+ an x$$ adalah ...

Accepted Answer

$$-\frac{1+\sec^2x}{\operatorname{cosec}^2y}$$

Answer

$$-\frac{\sec^2x}{\operatorname{cosec}^2y}$$

Answer

$$-\frac{1}{\operatorname{cosec}^2y}$$

Answer

$$\frac{\sec^2x}{\operatorname{cosec}^2y}$$

Answer

$$\frac{1}{\operatorname{cosec}^2y}$$

Question 12

Jika kurva-kurva didefinisikan dengan persamaan yang diberikan, maka $$\frac{dy}{dx}$$ yang dinyatakan dalam t dari $$x=2\ \sqrt[]{t}$$ dan $$y=2t^2-28$$ adalah ...

Accepted Answer

$$4\ \sqrt[]{t^3}$$

Answer

4

Answer

$$t^3$$

Answer

$$\sqrt[]{t^3}$$

Answer

$$4\ \sqrt[]{t}$$

Question 13

Pilihlah seluruh jawaban yang benar dari pertanyaan berikut ini (Jawaban Benar Lebih dari 1).

Interval fungsi naik dari fungsi $$f\left(x\right)=\sin2x$$ pada interval $$0^o\le x\le360^o$$ !

Accepted Answer

$$0^o<x<45^o$$

Accepted Answer

$$135^o<x<225^o$$

Accepted Answer

$$315^o<x<360^o$$

Answer

$$180^o<x<270^o$$

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