Math test Flashcards
1
Q
Derivative of e^u
A
e^u * du/dx
2
Q
Derivative of a^u
A
a^u * ln(a) * du/dx
3
Q
Derivative of ln(u)
A
1/u * du/dx
4
Q
Derivative of loga(u)
A
(1/u * lna) * du/dx
5
Q
What to do when variable raised to variable
A
1) Take lnx of both sides. 2) Use properties of logs. 3) Differentiate implicity. 4) Substitute for y.
5
Q
derivative of inverse sine (u)
A
(1 / square root (1-u^2))
* du/dx
6
Q
derivative of inverse tan (u)
A
(1/1+ u^2) * du/dx
7
Q
Inverse derivatives
A
the derivative of g(a) is equal to (1/ derivative of f(b))
8
Q
Derivative of tanx
A
sec^2 (x)
9
Q
Derivative of secx
A
secxtanx