Chapter 3 Rules Flashcards
1
Q
Power rule
A
d/dx(X^n) = nX^n-1
2
Q
Deriv of e^x
A
d/dx(e^x) = e^x
3
Q
Deriv of Constant Times function
A
d/dx(Cf(x)) = C * d/dx(f(x))
4
Q
Deriv of sum
A
d/dx(f(x)+g(x)) = d/dx(f(x) + d/dx(g(x)
5
Q
Deriv of difference
A
d/dx(f(x)-g(x)) = d/dx(f(x)) - d/dx(g(x))
6
Q
Product rule
A
d/dx(f(x) * g(x)) = f(x)g’(x) + f’(x)g(x)
or (UV)’=UV’ + U’V
7
Q
Quotient Rule
A
d/dx(f(x)/g(x)) = (g(x)f’(x) - g’(x)f(x))/g(x)^2
or (U/V)’ = (VU’ - U’V)/V^2
8
Q
Chain rule
A
d/dx((f*g) * x) =f’ (g(x)) * g’(x)
or (f(u))’= f’(u) * u’
9
Q
Generalized Power rule
A
d/dx([g(x)]^n) = n[g(x)]^n-1 * g(x)