Calc 1 Exam 2 Derivatives Flashcards
1
Q
d/dx sin(x)
A
cos(x)
2
Q
d/dx cos(x)
A
-sin(x)
3
Q
d/dx tan(x)
A
sec^2(x)
4
Q
d/dx csc(x)
A
-csc(x)cot(x)
5
Q
d/dx sec(x)
A
sec(x)tan(x)
6
Q
d/dx cot(x)
A
-csc^2(x)
7
Q
d/dx arcsin(x)
A
1/sqrt(1-x^2)
8
Q
d/dx arccos(x)
A
-1/sqrt(1-x^2)
9
Q
d/dx arctan(x)
A
1/1+x^2
10
Q
d/dx arccsc(x)
A
-1/xsqrt(1-x^2)
11
Q
d/dx arcsec(x)
A
1/xsqrt(1-x^2)
12
Q
d/dx arccot(x)
A
-1/1+x^2
13
Q
f(g(x))
A
f’g(x)*g’(x)
14
Q
f(x)g(x)
A
f’(x)g(x) + f(x)g’(x)
15
Q
f(x)/g(x)
A
g(x)f’(x)-f(x)g’(x)/g(x)^2
16
Q
x^n
A
nx^n-1
17
Q
cf(x)
A
f(x+h)+f(x)/h
18
Q
lnxy
A
lnx+lny
19
Q
lnx/y
A
lnx-lny
20
Q
lnx^y
A
ylnx
21
Q
lne^x
A
x
22
Q
e^lnx
A
x
23
Q
lns
A
logs
24
Q
lne
A
1 0<a
25
Q
ln1
A
0 0<a
26
Q
point slope
A
y-y1 = m(x-x1)
