Differentiation Rules
1) Constant (d/dx) (c)=0
2) Power (d/dx) (xn) = (n)x(n-1)
2a) (d/dx) x1 = 1x0 = 1
3) Constant Multiplied (c)xn = (n)(c)(x(n-1))
4) Sum/Difference (d/dx) (f(x) ± g(x)) = (f '(x) ± g '(x))
5) Product Rule (d/dx) (f(x) * g(x)) = ((f(x)*g '(x)) + (f '(x)*g(x)))
Trig Functions:
Dx sin x = cos x
Dx cos x = sin x
Dx tan x = sec˛ x
Dx cot x = -csc˛ x
Dx sec x = sec x tan x
Dx csc x = -csc x cot x
Implicit Differentiation (Derivative when unable to separate all x's and y's on either side of the equation.)
Exp.
x*y = x
x*(dy/dx) + y = 1
dy/dx= (1-y)/x