Derivatives Flashcards
1
Q
Product Rule?
A
(f * g)’(x) = f’(x)g(x) + g’(x)f(x)
2
Q
Quotient Rule?
A
(f/g)(x) = f’(x)g(x) - g’(x)f(x) / g(x)^2
3
Q
Derivative of an Inverse?
A
1/f’(f^-1(x))
4
Q
Chain Rule?
A
f’(g(x))g’(x)
5
Q
d/dx (tan(x)) =
A
sec^2(x)
6
Q
d/dx (arcsin(x)) =
A
1/sqrt(1-x^2)
7
Q
d/dx (arccos(x)) =
A
-1/sqrt(1-x^2)
8
Q
d/dx (arctan(x)) =
A
1/(1+x^2)
9
Q
d/dx (tanh(x)) =
A
sech^2(x)
10
Q
d/dx (arsinh(x)) =
A
1/sqrt(x^2+1)
11
Q
d/dx (arcosh(x)) =
A
1/sqrt(x^2-1)
12
Q
d/dx (artanh(x)) =
A
1/(1-x^2)
