Derivative Rules Flashcards
1
Q
Basic Derivative eqn
A
f’(x)= lim(h–>0) (f(x + h) - f(x))/h = lim(x–>a) (f(x) - f(a))/(x - a)
2
Q
Tangent line eqn
A
y = f(a) + f’(a)(x - a)
3
Q
Product Rule
A
(f*g)’ = f’g + fg’
4
Q
Quotient Rule
A
(f/g)’ = (f’g - fg’)/g^2
5
Q
Power Rule
A
y’(x^n) = nx^(n-1)
6
Q
Chain Rule
A
y’(f(g(x)) = f’(g(x)) * g’(x)
7
Q
sinx
A
cosx
8
Q
cosx
A
-sinx
9
Q
tanx
A
sec^2x
10
Q
secx
A
secxtanx
11
Q
cscx
A
-cscxcotx
12
Q
cotx
A
-csc^2x
13
Q
sin^-1x
A
1/(1-x^2)^(1/2)
14
Q
cos^-1x
A
-1/(1-x^2)^(1/2)
15
Q
tan^-1x
A
1/(1+x^2)
