Analiza Matematyczna - pochodne

0.0(0)
Studied by 2 people
call kaiCall Kai
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
GameKnowt Play
Card Sorting

1/18

flashcard set

Earn XP

Description and Tags

to co muszę umieć ale jeszcze pomocy jeśli chodzi o zadania

Calculus

Derivatives & Differentiation

University/Undergrad

Last updated 7:34 PM on 11/30/22
Name
Mastery
Learn
Test
Matching
Spaced
Call with Kai
Chat

No analytics yet

Send a link to your students to track their progress

19 Terms

1
New cards
f(x) = sinx
f'(x) = cosx
2
New cards
f(x) = cosx
f'(x) = - sinx
3
New cards
(f*g)'(x) =
f'(x) * g(x) + f(x) * g'(x)
4
New cards
(f/g)'(x) =
(f/g)'(x) =
[f'(x) * g(x) - f(x) * g'(x)] / [g(x)]²
[f'(x) * g(x) - f(x) * g'(x)] / [g(x)]²
5
New cards
f(x) = (tgx)
f'(x) = 1 / (cos²x)
6
New cards
f(x) = (tgx)
f'(x) = 1 + tg²x
7
New cards
f(x) = (ctgx)
f'(x) = - 1 / sin²x
8
New cards
f(x) = (ctgx)
f'(x) = - 1 - ctg²x
9
New cards
f(x) = eⁿ
f(x) = eⁿ
f'(x) = eⁿ⁰
f'(x) = eⁿ⁰
10
New cards
f(x) = a^x
f'(x) = a^x × ln a
11
New cards
f(x) = arc siny
f'(x) = 1 / cosx = 1 / √(1 - y²)
f'(x) = 1 / cosx = 1 / √(1 - y²)
12
New cards
f(x) = arc cosy
f'(x) = -1 / sinx = -1 / √(1 - y²)
f'(x) = -1 / sinx = -1 / √(1 - y²)
13
New cards
f(x) = arc tgy
f'(x) = 1 / (tg²x + 1) = 1 / (y² + 1)
f'(x) = 1 / (tg²x + 1) = 1 / (y² + 1)
14
New cards
f(x) = arc ctgy
f'(x) = -1 / (ctg²x + 1 = -1 / (y² + 1)
f'(x) = -1 / (ctg²x + 1 = -1 / (y² + 1)
15
New cards
f(x) = ⁿ√y
f'(x) = 1 / (n*xⁿ⁻¹) = (1/n) * y¹/ⁿ ⁻¹
f'(x) = 1 / (n*xⁿ⁻¹) = (1/n) * y¹/ⁿ ⁻¹
16
New cards
f(x) = y^m/n
f(x) = y^m/n
f'(x) = (m/n) * y^m/n-1
f'(x) = (m/n) * y^m/n-1
17
New cards
[f(g(x))]'
f'(g(x))×g'(x)
18
New cards
f(x) = loga x
f(x)' = 1 / (x × ln a)
19
New cards
f(x) = ln x
f'(x) = 1/x