Differentiation (2) Flashcards
1
Q
dy/dx when y=f(u) and u=g(x)?
A
dy/du * du/dx
2
Q
dy/du * du/dx
A
dy/dx when y=f(u) and u=g(x)?
3
Q
dy/dx for x=f(y)
A
1/(dx/dy)
4
Q
1/(dx/dy)
A
dy/dx for x=f(y)
5
Q
What if y = lnx?
A
x = e^y
6
Q
x = e^y
A
What if y = lnx?
7
Q
d/dx (e^kx)
A
ke^kx
8
Q
ke^kx
A
d/dx (e^kx)
9
Q
What is d/dx (a^x)?
A
a^x ln a
10
Q
a^x ln a
A
What is d/dx (a^x)?
11
Q
What is dy/dx of sin x?
A
cos x
12
Q
cos x
A
What is dy/dx of sin x?
13
Q
What is dy/dx of cos x?
A
-sin x
14
Q
-sin x
A
What is dy/dx of cos x?
15
Q
What is dy/dx of tan x?
A
sec^2 x