Derivative Rules + Trig Rules 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 [sec x]
A
sec x tan x
5
Q
d/dx [csc x]
A
csc x cot x
6
Q
d/dx [cot x]
A
csc^2 x
7
Q
d/dx [arcsin x]
A
1/(root 1-x^2)
8
Q
d/dx [arccos x]
A
-1/(root 1-x2)
9
Q
d/dx [arctan x]
A
1/(1 + x^2)
10
Q
d/dx [arccot x]
A
-1/(1 + x^2)
11
Q
d/dx [arcsec x]
A
1/(x root x^2 -1)
12
Q
d/dx [arccsc x]
A
-1/(x root x^2 -1)
13
Q
tan
A
sin/cos
14
Q
sec
A
1/cos
15
Q
csc
A
1/sin
16
Q
cot
A
cos/sin OR 1/tan
17
Q
sin^2 + cos2
A
1
18
Q
sin^2
A
1 - cos^2
19
Q
cos^2
A
1 - sin^2
20
Q
limit definition of derivative in terms of a
A
f(x) - f(a) / (x-a)
21
Q
limit definition of derivative in terms of h
A
f(x+h) - f(x) / h
22
Q
product rule
A
f’(x)g(x) + g’(x)f(x)
23
Q
quotient rule
A
f’(x)g(x) - g’(x)f(x) / g(x)^2
24
Q
chain rule
A
f’(g(x)) * g’(x)
