Quiz about Asesmen Sumatif

Question 1

Diketahui fungsi $$f\left(x\right)=2x^3-x^2+x$$ , Turunan pertamanya adalah...

Accepted Answer

$$6x^2-2x+1$$

Answer

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

Answer

$$x^2-2x+5$$

Answer

$$3x^2-4x-1$$

Answer

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

Question 2

Diketahui $$f\left(x\right)=-\frac{2}{x^3}$$ , maka turunan pertama dari fungsi tersebut adalah...

Accepted Answer

$$\frac{6}{x^2}$$

Answer

$$6x^2$$

Answer

$$-6x^2$$

Answer

$$-2x^3$$

Answer

$$-\frac{2}{x^3}$$

Question 3

Diketahui $$f\left(x\right)=x^2+\sqrt[]{x}$$ , Nilai dari $$f$$ adalah...

Accepted Answer

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

Answer

$$3\frac{1}{3}$$

Answer

$$5\frac{1}{2}$$

Answer

$$2\frac{1}{3}$$

Answer

$$3\frac{1}{4}$$

Question 4

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

Accepted Answer

$$3x^2+2$$

Answer

$$x^2+x$$

Answer

$$2x^2-3$$

Answer

$$2x^2+2$$

Answer

$$2x-3$$

Question 5

Diketahui $$f\left(x\right)=\left(x^2-2x\right)^3$$ , turunan pertama dari f(x) adalah...

Accepted Answer

$$f$$

Question 6

Diketahui $$f\left(x\right)=\left(2x^2-1\right)\left(x^3+2\right)$$ , Nilai dari f'(-2) adalah....

Accepted Answer

132

Answer

-92

Answer

-12

Answer

0

Answer

22

Question 7

Diketahui $$f\left(x\right)=\frac{4x^2-5x}{2x+2}$$ , Nilai dari f'(0) adalah....

Accepted Answer

$$-\frac{5}{2}$$

Answer

$$-\frac{7}{2}$$

Answer

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

Answer

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

Answer

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

Question 8

Diketahui persamaan $$f\left(x\right)=\left(2x-1\right)^3\left(3x+2\right)$$ , Nilai dari f'(-1) adalah....

Accepted Answer

-108

Answer

-54

Answer

-27

Answer

0

Answer

27

Question 9

Diketahui $$f\left(x\right)=\frac{8x^2+4x}{2x-1}$$ nilai dari f'(1) adalah...

Accepted Answer

-4

Answer

-8

Answer

-2

Answer

0

Answer

2

Question 10

Diketahui $$f\left(x\right)=\frac{4}{-2\cos x}$$ , turunan pertama dari fungsi tersebut adalah...

Accepted Answer

-2tan(x)sec(x)

Answer

0

Answer

-4sec(x)

Answer

2sin(x)tan(x)

Answer

-1

Question 11

Diketahui $$f\left(x\right)=\sin^3\left(2x+30^o\right)$$ , nilai dari $$f$$ adalah...

Accepted Answer

6

Answer

-3

Answer

-1

Answer

1

Answer

3

Question 12

Persamaan garis singgung pada kurva $$y=3x^2-2x-5$$ , di titik (1, -3) adalah...

Accepted Answer

y = 4x - 7

Answer

y = 2x - 5

Answer

y = 3x - 6

Answer

y = 5x - 8

Answer

y = 5x + 1

Question 13

Diketahui kurva $$y\ =\ 3x^2-7x+2$$ yang sejajar dengan garis y = 5x + 5, persamaan garis singgung yang menyinggung kurva dan sejajar dengan garis adalah...

Accepted Answer

y = 5x - 10

Answer

y = 5x + 3

Answer

y = 4x - 2

Answer

y = 2x + 1

Answer

y = 3x - 4

Question 14

Persamaan garis yang menyinggun kurva $$y=-2x^2+6x+7$$ , dan tegak lurus dengan garis x - 2y + 13 = 0 adalah...

Accepted Answer

y = -2x + 8

Answer

y = 3x - 4

Answer

y = -2x + 10

Answer

y = -x + 5

Answer

y = 2x + 1

Question 15

Diketahui $$f\left(x\right)=x^3+3x^2-9x+7$$ , fungsi akan naik pada interval...

Accepted Answer

x < -3 atau x > 1

Answer

$$-3<x<1$$

Answer

x < 1 atau x > 3

Answer

1 < x < 3

Answer

x > 3

Question 16

Diketahui $$y=3x^2-7x+2$$ , persamaan garis singgung pada titik berabsis 2 adalah...

Accepted Answer

y = 5x - 10

Answer

y = 6x - 15

Answer

y = 4x - 10

Answer

y = 3x - 5

Answer

y = 2x + 1

Question 17

Diketahui $$f\left(x\right)=x^3-3x^2$$ , interval fungsi turun dari fungsi tersebut adalah...

Accepted Answer

0 < x < 2

Answer

-1 < x < 0

Answer

2 < x < 3

Answer

0 < x < 3

Answer

1 < x < 2

Question 18

Diketahui $$f\left(x\right)=2x^3-24x+23$$ , Titik balik maksimum dari kurva tersebut adalah...

Accepted Answer

(-2, 41)

Answer

(0, 23)

Answer

(1, 1)

Answer

(-1, 15)

Answer

(2, 5)

Question 19

Persamaan gerak suatu partikel dinyatakan dengan rumus $$s\left(t\right)=\left(3t+1\right)^{\frac{1}{2}}$$ (s dalam meter dan t dalam detik). kecepatan partikel pada saat t = 8 detik adalah...

Accepted Answer

0.3 m/s

Answer

0.1 m/s

Answer

2.0 m/s

Answer

1.5 m/s

Answer

0.8 m/s

Question 20

Suatu perusahaan memproduksi x unit barang dengan biaya $$\left(4x^2-8x+24\right)$$ ribu rupiah untuk setiap unitnya. jika barang tersebut terjual habis dengan harga Rp. 40.000,- untuk setiap unitnya maka keuntungan maksimum yang diperoleh perusahaan tersebut adalah...

Accepted Answer

Rp. 32.000

Answer

Rp. 16.000

Answer

Rp. 100.000

Answer

Rp. 160.000

Answer

Rp. 240.000

Question 21

Suatu pembangunan proyek gedung sekolah dapat diselesaikan dalam x hari dengan biaya proyek perhari $$\left(2x-80+\frac{30}{x}\right)ribu\ rupiah$$ . Agar biaya proyek minimum, proyek tersebut harus diselesaikan dalam ... hari

Accepted Answer

20 hari

Answer

10 hari

Answer

25 hari

Answer

15 hari

Answer

5 hari

Question 22

$$\int_{ }^{ }3x^2-4x+5\ dx=...$$

Accepted Answer

$$x^3-2x^2+5x+C$$

Answer

$$x^3+2x^2+5x+C$$

Answer

$$3x^3-4x+5+C$$

Answer

$$x^3-4x^2+5+C$$

Answer

$$3x^2-2x+C$$

Question 23

Hasil dari $$\int^{ }\left(2x+3\right)^2\ dx\ =\ ...$$

Accepted Answer

$$\frac{4}{3}x^3+6x^2+9x+c$$

Answer

$$\frac{4}{3}x^3-3x^2+9x+c$$

Answer

$$\ \frac{4}{3}x^3+3x^2+9x\ +\ c$$

Answer

$$\frac{4}{3}x^3-6x^2-9x+c\ $$

Answer

$$\frac{3}{4}x^3+6x^2-9x+c$$

Question 24

$$\int\frac{6}{x^4}dx=....$$

Accepted Answer

$$\frac{-2}{x^3}+c$$

Answer

$$\frac{-3}{x^3}+c$$

Answer

$$-2x^3+c$$

Answer

$$-3x^3+c$$

Question 25

$$\int\left(4x^3-12x^2+7x-3\right)dx=....$$

Accepted Answer

$$x^4-4x^3+\frac{7}{2}x^2-3x+c$$

Answer

$$2x^4-3x^3+7x^2-3x+c$$

Answer

$$x^4-3x^3+\frac{7}{2}x^2-3x+c$$

Answer

$$\frac{1}{2}x^4-3x^3+\frac{7}{2}x^2-3x+c$$

Question 26

$$\int\sqrt{x^5}dx=....$$

Accepted Answer

$$\frac{2}{7}\sqrt{x^7}+c$$

Answer

$$\frac{7}{2}\sqrt{x^7}+c$$

Answer

$$\frac{7}{2\sqrt{x^7}}+c$$

Answer

$$\frac{2}{7\sqrt{x^7}}+c$$

Question 27

$$\int t^2\left(3t+5\right)dt=....$$

Accepted Answer

$$\frac{3}{4}t^4+\frac{5}{3}t^3+c$$

Answer

$$3t^4+\frac{3}{5}t^3+c$$

Answer

$$\frac{3}{4}t^3+\frac{5}{3}t^2+c$$

Answer

$$9t^2+10t+c$$

Question 28

Tentukan interval naik dari fungsi $$f\left(x\right)=x\left(6-x\right)^2$$ adalah...

Accepted Answer

$$x<2$$ atau $$x>6$$

Answer

$$-2<x<6$$

Answer

$$x\ge6$$

Answer

$$x\le2$$

Answer

$$2<x<6$$

Question 29

suatu perusahaan menghasilkan $$x\ produk$$ dengan biaya total sebesar $$75+2x+0,1x^2\ rupiah.\ $$

Jika semua produk perusahaan tersebut terjual dengan harga $$Rp.\ 40.000,00$$ untuk setiap produknya, maka laba maksimum yang diperoleh adalah.......

Accepted Answer

$$Rp.\ 3.535.000,00$$

Answer

$$Rp.\ 3.540.000,00$$

Answer

$$Rp.\ 3.545.000,00$$

Answer

$$Rp.\ 3.550.000,00$$

Answer

$$Rp.3.555.000$$

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