Derivatives hoorayyy Flashcards
1
Q
Power rule
A
If n is a real number
d/dx x^n = nx^(n-1)
2
Q
e^x
A
is the same.. but if there’s a function in x then chain rule that butch
fun fact ln and e cancel, it’s slope is at 1
It’s 0 at -infinity
And infinity at +infinity
3
Q
Quotient rule
A
T’B-B’T
————
B^2
4
Q
Product Rule
A
F’G+FG’
5
Q
d/dx ln(x)
A
1
——
x
6
Q
d/dx a^x
A
a^x ln(a)
7
Q
Chain Rule
A
Peel it like an onion, outside in
8
Q
Logarithmic Differentiation
A
When the base and examine the are functions of X
X^cos(x)
You take the ln of both sides, then differentiate implicitly
9
Q
Some ln info
ln e =
ln 1 =
A
ln e = 1
ln 1 = 0
