Gradien dan Persamaan Garis Singgung Lesson Slides: 3 Slides

3 Slides • 8 Questions

1

Gradien dan Persamaan Garis Singgung

2

3

Post Test

Jawablah soal-soal berikut berdasarkan video yang sudah kalian simak tadi.

4

Multiple Choice

Gradien yaitu ....

1

kemiringan garis

2

kemiringan kurva

3

persamaan garis singgung

4

persamaan kurva

5

turunan

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Multiple Select

m = ....

1

$m=y-y_1$

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$m=x-x_1$

3

$m=y'$

4

$m=f'\left(x\right)$

5

$y-y_1=m\left(x-x_1\right)$

6

Multiple Choice

Gradien garis singgung kurva fungsi $y=x^3-3x^2$ di titik $\left(3,0\right)$ adalah ...

(nilai x dan y sudah diketahui, x=3 dan y=0, maka setelah mencari gradien langsung cari PGSnya)

1

3

2

9

3

18

4

27

5

32

7

Multiple Choice

Gradien garis singgung kurva fungsi $y=x^3+4x^2+5x+8$ di titik $\left(-3,2\right)$ adalah ...

1

5

2

6

3

7

4

8

5

9

8

Multiple Choice

Persamaan garis singgung untuk kurva y = 3 + 2x - x² sejajar dengan garis 4x + y = 3 adalah ....

1

y = -4x -12

2

y = 4x + 12

3

y = -4x + 12

4

y = 4x - 12

5

y = 4x - 7

9

Multiple Choice

Diketahui gradien garis singgung kurva y = x³ - 3x² - 5x + 10 adalah 4, maka persamaan garis singgungnya adalah ....

1

y = - 4x - 17 dan y = 4x + 8

2

y = 4x + 17 dan y = 4x -8

3

y = 4x -17 dan y = 4x + 8

4

y = 4x -17 dan y = 4x -8

5

y = - 4x - 17 dan y = 4x - 8

10

Multiple Choice

Persamaan garis singgung kurva $y=\frac{4}{x^3}$ di titik yang berordinat $\frac{1}{2}$ adalah ....

(ordinat = titik potong pada sumbu y)

1

8x+6y+13=0

2

$8x+6y-13=0$

3

$8x-6y-13=0$

4

$6x+8y-16=0$

5

$6x-8y-16=0$

11

Multiple Choice

Gradien garis normal kurva $y=2x^2-5x+6$ di titik yang berabsis 2 adalah ....

(absis = titik potong pada sumbu x)

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$-3$

2

$-1$

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$-\frac{1}{3}$

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$\frac{1}{3}$

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$1$

Gradien dan Persamaan Garis Singgung

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