Differentiation Flashcards
0
Q
f(x) = lnx
A
f’(x) = 1
—
x
1
Q
f(x) = e(^kx)
A
f’(x) = ke(^kx)
2
Q
f(x) = sinkx
A
f’(x) = kcoskx
3
Q
f(x) = coskx
A
f’(x) = -ksinkx
4
Q
f(x) = a(^x)
A
f’(x) = a(^x)lna
5
Q
Product rule:
y = f(x)g(x)
A
f’(x) = f(x)g’(x) + g(x)f’(x)
6
Q
Chain rule:
y = [f(x)]^n
A
f’(x) = nf’(x)[f(x)]^(n-1)
7
Q
ln[f(x)]
A
dy f’(x)
— = —–
dx f(x)
