Calc - Derivative Rules Flashcards
1
Q
f(x) = sin(x)
A
f’(x) = cos(x)
2
Q
f(x) = cos(x)
A
f’(x) = -sin(x)
3
Q
f(x) = e^x
A
f’(x) = e^x
4
Q
f(x) = ln(x)
A
f’(x) = 1/x
5
Q
h(x) = f(x) * g(x)
A
h’(x) = g’(x)h(x) + g(x)h’(x)
6
Q
h(x) = f(x) / g(x)
A
h’(x) = [f’(x)g(x) - f(x)g’(x)] / [g(x)]^-2
7
Q
f(x) = sin(u)
A
f’(x) = cos(u) * u’
8
Q
f(x) = cos(u)
A
f’(x) = -sin(u) * u’
9
Q
f(x) = tan(u)
A
f’(x) = sec^2(u) * u’
10
Q
f(x) = sec(u)
A
f’(x) = sec(u) * tan(u) * u’
11
Q
f(x) = ln(u)
A
f’(x) = u’/u
12
Q
f(x) = u^n
A
f’(x) = nu^(n-1) * u’
