AP Calculus BC Derivatives

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

1/17

encourage image

There's no tags or description

Looks like no tags are added yet.

Last updated 6:10 PM on 8/28/26
Name
Mastery
Learn
Test
Matching
Spaced
Call with Kai
Chat

No analytics yet

Send a link to your students to track their progress

18 Terms

1
New cards

limx→0sin(x)x\text{lim}_{x \to 0} \frac{\text{sin}(x)}{x}

11

2
New cards

limx→01−cos(x)x\text{lim}_{x \to 0} \frac{1 - \text{cos}(x)}{x}

00

3
New cards

ddxsin(x)\frac{d}{dx} \text{sin}(x)

cos(x)\text{cos}(x)

4
New cards

ddxcos(x)\frac{d}{dx} \text{cos}(x)

−sin(x)-\text{sin}(x)

5
New cards

ddxtan(x)\frac{d}{dx} \text{tan}(x)

sec2(x)\text{sec}^2(x)

6
New cards

ddxcsc(x)\frac{d}{dx} \text{csc}(x)

−csc(x)cot(x)-\text{csc}(x)\text{cot}(x)

7
New cards

ddxsec(x)\frac{d}{dx} \text{sec}(x)

sec(x)tan(x)\text{sec}(x)\text{tan}(x)

8
New cards

ddxcot(x)\frac{d}{dx} \text{cot}(x)

−csc2(x)-\text{csc}^2(x)

9
New cards

ddxsin−1(x)\frac{d}{dx}\text{sin}^{-1}\left(x\right)

11−x2\frac{1}{\sqrt{1-x^2}}

10
New cards

ddxcos−1(x)\frac{d}{dx} \text{cos}^{-1}(x)

−1(1−x2)-\frac{1}{\sqrt{(1-x^2)}}

11
New cards

ddxtan−1(x)\frac{d}{dx}\text{tan}^{-1}\bigg(x\bigg)

1x2+1\frac{1}{x^2+1}

12
New cards

ddxsec−1(xa)\frac{d}{dx} \text{sec}^{-1}\bigg(\frac{x}{a}\bigg)

1∣x∣x2−1\frac{1}{|x|\sqrt{x^2-1}}

13
New cards

ddxcsc−1(x)\frac{d}{dx} \text{csc}^{-1}(x)

−1∣x∣x2−1-\frac{1}{|x|\sqrt{x^2-1}}

14
New cards

ddxcot−1(x)\frac{d}{dx} \text{cot}^{-1}(x)

−1x2+1-\frac{1}{x^2+1}

15
New cards

ddxln(x)\frac{d}{dx}\text{ln}(x)

1x\frac{1}{x}

16
New cards

ddxex\frac{d}{dx}e^{x}

exe^{x}

17
New cards

ddxloga(x)\frac{d}{dx}\text{log}_{a}\left(x\right)

1xln(a)\frac{1}{xln(a)}

18
New cards

ddxax\frac{d}{dx}a^{x}

axln(a)a^{x}\text{ln}(a)