Chp 5:PD 1 Flashcards
1
Q
Dy/dx of y= a^x
A
Dy/dx= a^x ln a
2
Q
Dy/dx of x^n
A
Dy/dx= nx^n-1
3
Q
Dy/dx of e^x
A
Dy/dx= e^x
4
Q
Dy/dx of e^kx
A
Dy/dx = ke^kx
5
Q
Dy/dx of ln x
A
Dy/dx = 1/x
6
Q
Dy/dx of log lc(a) x
A
Dy/dx = 1/ x ln a
7
Q
Dy/dx of sin x
A
Dy/dx = cos x
8
Q
Dy/dx of cos x
A
Dy/dx = - sin x
9
Q
Dy/dx of tan x
A
Dy/dx = sec^2 x
10
Q
Dy/dx of cot x
A
Dy/dx = -csc^2 x
11
Q
Dy/dx of sec x
A
Dy/dx = sec x tan x
12
Q
Dy/dx of csc x
A
-csc x cot x
13
Q
Dy/dx of sinh x
A
Cosh x
14
Q
Dy/dx of cosh x
A
Sinh x
15
Q
Chain rule
A
Dy/dx = dy/du x du/dx
16
Q
Product rule
A
Dy/dx = udv/dx + vdu/dx
17
Q
Quotient rule
A
Dy/dx = vdu/dx - udv/dx / v^2
18
Q
Dy/dx of coth x
A
-csch^2 x
19
Q
Dy/dx of csch x
A
- csch x coth x
20
Q
Dy/dx of Sech x
A
- sech x tanh x
21
Q
Dy/dx of tanh x
A
Sech^2 x
22
Q
Dy/dx of cos^-1 x
A
-1/(1-x^2)^1/2
23
Q
Dy/dx of sin^-1 x
A
1/(1-x^2)^1/2