Calc identities Flashcards
1
Q
f ‘(sin x) = ?
A
cos x
2
Q
f ‘ (cos x) = ?
A
- sin x
3
Q
f ‘(tan x) = ?
A
sec^2 x
4
Q
f ‘(sec x) = ?
A
sec x tan x
5
Q
f ‘(cot x) = ?
A
-csc^2 x
6
Q
f ‘(csc x) = ?
A
- csc x cot x
7
Q
power rule
A
f ‘(x^n) = n x^(n-1)
8
Q
constant multiple rule
A
f ‘[c f(x)] = c f ‘[f (x)]
9
Q
chain rule
A
dy/dx = (dy / du) (du / dx) d/dx [f(g(x))] = f ‘[g(x)] g ‘(x) d/dx [f(u)] = f ‘(u) du/dx
10
Q
What is the derivative of arcsine?
A
11
Q
What is the derivative of arccosine?
A
12
Q
What is the derivative of arctangent?
A
13
Q
What is the derivative of arccotangent?
A
14
Q
What is the derivative of arcsecant?
A
15
Q
What is ther derivative of arccosecant?
A
16
Q
What is the derivative of e^x?
A
e^x * x’
17
Q
What is the derivative of b^x when b is a constant?
A
b^x * ln(b) * x’
18
Q
What is the derivative of ln(x)?
A
1/x * x’
19
Q
What is the derivative of log b (u)
A
1/(x * ln b) * dx
