TURUNAN RANTAI

Presentation

•

Mathematics

•

12th Grade

•

Hard

Riani Widiastuti

Used 3+ times

FREE Resource

6 Slides • 0 Questions

TURUNAN PERKALIAN DAN PEMBAGIAN FUNGSI ALJABAR

By Riani Widiastuti, M.Pd

Contoh:

Tentukan turunan fungsi f(x) = (5x – 2) (3x – x⁸)

Jawab:

u(x) = 5x - 2

v(x) = (3x - x⁸)

u(x) = 5x - 2

v(x) = (3x - x⁸)

u^'(x) = 5

v'(x) = 3 - 8x⁷

f'(x) = (3x - x⁸)(5) + (5x - 2)(3 - 8x⁷)

f'(x) = 15x - 5x⁸+ (15x - 6 - 40x⁸+ 16x⁷)

f'(x) = 15x - 5x⁸+ 15x - 6 - 40x⁸+ 16x⁷

f'(x) = - 45x⁸+ 16x⁷+ 30x- 6

Contoh:

Tentukan turunan fungsi f(x) = (3x – x⁸) : (2x - 3)

Jawab:

u(x) = (3x - x⁸)

v(x) = 2x - 3

u(x) = (3x - x⁸)

v(x) = 2x - 3

u^'(x) = 3 - 8x⁷

v'(x) = 2

f'(x) = [(2x - 3)(3 - 8x⁷) - (3x - x⁸)(2)] : (2x - 3)²

f'(x) = [(6x - 16x⁸- 9 + 24x⁷)- (6x - 2x⁸)] : (2x - 3)²

f'(x) = [6x - 16x⁸- 9 + 24x⁷ - 6x + 2x⁸] : (2x - 3)²

f'(x) = [- 14x⁸ + 24x⁷ - 9] : (2x - 3)²

CONTOH SOAL

Tentukan turunan pertama dari fungsi berikut:

f(x) = (x² + 3) : (2x + 1)
f(x) = (x + 3)(2x⁴- 5)

TURUNAN PERKALIAN DAN PEMBAGIAN FUNGSI ALJABAR

By Riani Widiastuti, M.Pd

Show answer

Auto Play

Slide 1 / 6

SLIDE

Similar Resources on Wayground

6 questions

Aturan Pengisian Tempat (Filling Slots)

Presentation

•

12th Grade

6 questions

Teoría: Parábola

Presentation

•

12th Grade

5 questions

PH-A Distribusi Binomial

Presentation

•

12th Grade

5 questions

Penguino School Lesson

Presentation

•

9 questions

Integral Tentu

Presentation

•

12th Grade

8 questions

Transformasi Geometri

Presentation

•

12th Grade

8 questions

Metodo delle tangenti

Presentation

•

12th Grade

8 questions

Distance Formula

Presentation

•

12th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade

17 questions

Identifying Parallel And Perpendicular Lines

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

14 questions

Evaluate Linear Functions and Their Applications

Quiz

•

9th - 12th Grade

16 questions

Algebra 1 Unit 2: Functions & Relations

Quiz

•

9th - 12th Grade