Differentiation Cheat Sheet
d/dx(c)=0
d/dx(x^n)=n x^(n-1)
Sum: (f+g)'=f'+g'
Constant: (cf)'=cf'
Product: (uv)'=u'v+uv'
Quotient: (u/v)'=(u'v-uv')/v^2
Chain: (f(g(x)))'=f'(g(x))*g'(x)
Trig:
(sin x)'=cos x
(cos x)'=-sin x
(tan x)'=sec^2 x
Exp/Log:
(e^x)'=e^x
(a^x)'=a^x ln(a)
(ln x)'=1/x
Tangent slope = f'(x)
Second derivative = f''(x)
d/dx(c)=0
d/dx(x^n)=n x^(n-1)
Sum: (f+g)'=f'+g'
Constant: (cf)'=cf'
Product: (uv)'=u'v+uv'
Quotient: (u/v)'=(u'v-uv')/v^2
Chain: (f(g(x)))'=f'(g(x))*g'(x)
Trig:
(sin x)'=cos x
(cos x)'=-sin x
(tan x)'=sec^2 x
Exp/Log:
(e^x)'=e^x
(a^x)'=a^x ln(a)
(ln x)'=1/x
Tangent slope = f'(x)
Second derivative = f''(x)
