differentiation Flashcards
1
Q
when x is small sin x =
A
x
2
Q
when x is small cos x =
A
1 - 1/2 x^2
3
Q
when x is small tan x =
A
x
4
Q
chain rule
A
dy/dx = dy/du x du/dx
5
Q
product rule
A
dy/dx = u(dv/dx) + v(du/dx)
6
Q
quotient rule
A
f’(x) = h(x) g’(x) - g(x) h’(x) / (h(x))^2
7
Q
y=cosec kx
A
dy/dx = -k cosec kx cot kx
8
Q
y=sec kx
A
dy/dx = k sec kx tan kx
9
Q
y=cot kx
A
dy/dx = -k cosec^2 kx
10
Q
y=tan kx
A
dy/dx = k sec^2 kx
11
Q
y=lnf(x)
A
f’(x)/f(x)
12
Q
e^f(x)
A
f’(x)e^f(x)
13
Q
a^kx
A
a^kx K lna
