The derivative of f is
denoted by f ′(x) or 
d( ( ))
dxf x
or if y = f (x) by dy
dx or y′ The process of finding
derivative of a function is called differentiation We also use the phrase differentiate
f(x) with respect to x to mean find f ′(x) (1)The following rules were established as a part of algebra of derivatives:
(u ± v)′ = u′ ± v′
(2)
(uv)′ = u′v + uv′ (Leibnitz or product rule)
(3)
2
u
u v
uv
v
v
′
′ −
′

 =




, wherever v ≠ 0 (Quotient rule)