Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
11 Cards in this Set
- Front
- Back
|
Power rule
|
f(x) = x^n
f'(x) = nx^(n-1) |
|
|
Constant multiple rule
|
cf(x) -> cf'(x)
|
|
|
Sum Rule
|
f(x) +/- g(x) -> f'(x) +/- g'(x)
|
|
|
Product rule
|
f(x)g(x) -> f'(x)g(x) + g'(x)f(x)
|
|
|
Quotient Rule
|
h(x) = f(x)/g(x)
h'(x) = [g(x)f'(x) - f(x)g'(x)] / [g(x)]^2 |
|
|
Chain Rule
|
h(x) = g(f(x))
h'(x) = g'(f(x))f'(x) |
|
|
General Power Rule
|
[f(x)]^n -> n[f(x)]^(n-1)f'(x)
|
|
|
Derivative of the exponential function
|
e^x -> e^x
|
|
|
Chain Rule for Exponential Functions
|
e^u -> e^(u)*du/dx (derivative of u)
|
|
|
Derivative of the logarithmic function
|
ln |x| -> 1/x
|
|
|
Chain Rule for Logarithmic Functions
|
ln u -> (1/u)(du/dx)
|
