Quiz about Titik Stasioner, Fungsi Naik dan Fungsi Turun

Question 1

Diketahui fungsi kurva $$y\ =\ x^{3\ }-\ 3x^2\ -\ 24\ x\ \ $$ maka nilai stasionernya adalah ...

Accepted Answer

21 dan -87

Answer

-35 dan 1

Answer

-1 dam 34

Answer

-2 dan 4

Answer

21 dan -77

Question 2

Tentukan titik stasioner dari fungsi berikut $$f\left(x\right)\ =2x^3\ -\ 3x^2\ -12x\ +\ 4$$

Accepted Answer

(2,4) dan (-1,31)

Answer

(-2,4) dan (1,31)

Answer

(-2,20) dan (1,11)

Answer

(2,20) dan (-1,11)

Answer

(2,20) dan (1,11)

Question 3

Fungsi $$f\left(x\right)\ =3x^2-6x\ +\ 5\ $$ naik pada interval

Accepted Answer

$$x>1$$

Answer

$$x<1$$

Answer

$$x>2$$

Answer

$$x<12$$

Answer

$$x>-1$$

Question 4

Fungsi $$f\left(x\right)\ =-4x^2\ +24x\ -\ 10\ $$ turun dalam interval...

Accepted Answer

$$x>3$$

Answer

$$x<2$$

Answer

$$x>2$$

Answer

$$x<3$$

Answer

$$x>-2$$

Question 5

Fungsi $$f\left(x\right)\ =\ x^3-9x^2+24x-12\ $$ naik dalam interval

Accepted Answer

$$x<2\ atau\ x>4$$

Answer

$$2<x<4$$

Answer

$$x<-2\ atau\ x>4$$

Answer

$$-2<x<4$$

Answer

$$-4<x<2$$

Question 6

Diketahui fungsi $$f\left(x\right)=x^2-8x-9$$ naik pada interval...

Accepted Answer

x > 4

Answer

x < 4

Answer

x > -4

Answer

x < 6

Answer

x > 6

Question 7

Nilai minimum dari fungsi $$f\left(x\right)=x^{2\ }-6x\ +\ 8$$ adalah...

Accepted Answer

-1

Answer

-2

Answer

0

Answer

1

Answer

2

Question 8

Nilai maksimum dari fungsi berikut $$f\left(x\right)=x^3+3x^2-24x$$ adalah...

Accepted Answer

80

Answer

40

Answer

50

Answer

60

Answer

70

Question 9

Jika suatu proyek akan diselesaikan dalam x hari maka biaya proyek perhari menjadi $$\left(x+\frac{800}{x}-40\right)$$ juta rupiah, biaya minimum proyek tersebut adalah...

Accepted Answer

400

Answer

100

Answer

200

Answer

300

Answer

500

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