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Flashcards in Limits And Derivatives Deck (19):
1

d|dx(c)=?

0

2

d|dx(x^n)=?

nx^(n-1)

3

d|dx(e^x)=?

e^x

4

d|dx[f(x)+g(x)]=?

f'(x)+g'(x)

5

d|dx[f(x)-g(x)]=?

f'(x)-g'(x)

6

d|dx[f(x)*g(x)]=?

f'(x)*g(x)+f(x)*g'(x)

7

d|dx[N(x)/D(x)]=?

[N'(x)*D(x)]-[D'(x)*N(x)]/[D(x)]^2

8

d|dx(cosx)=?

-sinx

9

d|dx(sinx)=?

cosx

10

d|dx(tanx)=?

sec^2x

11

d|dx(cotx)=?

-csc^2x

12

d|dx(secx)=?

secxtanx

13

d|dx(cscx)=?

-cscxcotx

14

d|dx{c[f(x)]}=?

C*f'(x)

15

What is the chain rule?

d|dx{f[g(x)]}=f'[g(x)]*g'(x)}

16

f'(x)=?

lim ➡️ 0
f(x+h)-f(x)/h

17

What is the limit as theta approaches 0 of sin(theta)/theta

1️⃣

18

What is the limit as theta approaches 0 of cos(theta)-1/theta

0️⃣

19

d|dx(x)=?

1