Gradien 1 Lesson Slides: 6 Slides (Grade 12)

6 Slides • 5 Questions

1

APLIKASI
Turunan Fungsi Trigonometri

2

Tujuan Pembelajaran

Menjelaskan keberkaitan turunan pertama dan kedua fungsi dengan nilai maksimum, nilai minimum, selang kemonotonan fungsi, kemiringan garis singgung serta titik belok dan selang kecekungan kurva fungsi trigonometri.
Menyelesaikan masalah yang berkaitan dengan nilai maksimum, nilai minimum, selang kemonotonan fungsi, dan kemiringan garis singgung serta titik belok dan selang kecekungan kurva fungsi trigonometri

3

Materi Pembelajaran

Kemiringan (Gradien) Garis Singgung dan Persamaan Garis Singgung pada Kurva Fungsi Trigonometri
Nilai Maksimum dan Minimum Fungsi
Selang Kemonotonan dan Kecekungan Kurva Sebuah Fungsi

4

Rumus Gradien

5

Contoh soal

6

Multiple Choice

Nilai kemiringan garis singgung pada kurva $y=\sin x$ di absis $\frac{\pi}{3}$ adalah . . .

1

-1

2

-1/2

3

0

4

1/2

5

1

7

Multiple Choice

Nilai kemiringan garis singgung pada kurva $y=\cos x+2$ di absis $\frac{\pi}{3}$ adalah . . .

1

-1

2

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

3

-1/2

4

1/2

5

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

8

Multiple Choice

Besar gradien garis singgung pada kurva $f\left(x\right)=\tan x-2$ di absis $x=\frac{\pi}{6}$ adalah . . .

1

$\sqrt[]{3}$

2

$\frac{4}{3}$

3

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

4

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

5

0

9

Multiple Choice

Besar gradien garis singgung pada kurva $g\left(x\right)=3-\cot x$ di titik $\left(\frac{\pi}{4},2\right)$ adalah . . .

1

2

1

3

-1

4

-2

5

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

10

Multiple Choice

Besar gradien garis tangen pada kurva $h\left(x\right)=\sin\ x\ -\ \cos\ x$ di titik $\left(\frac{\pi}{4}\right)$

1

$2\sqrt[]{2}$

2

$\sqrt[]{2}$

3

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

4

1/2

5

0

11

Thanks

APLIKASI
Turunan Fungsi Trigonometri

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