f'(c)=lim f(x)-f(c)

        _^x→c  x-c

Derivative as a Function (Δx or h form)

Δf'(x)=lim f(x+Δx)-f(x)

         _^Δx→0       Δx

Δx=h

Derivative of the Power Function

f(x)=x ⁿ

f'(x)=nx^n-1

Derivative of a...

• Constant Times a Function
• Constant Function+ 
• Sum of Two Functions

f(x)=g(x)+h(x) 

f'(x)=g'(x)+h'(x)

f(x)=kg(x)

f'(x)=kg'(x)

f(x)=C

f'(x)=0

Antiderivative

g(x) is the antiderivative of f(x) if g'(x)=f(x)

Chain Rule

f(x)=g(h(x))

f'(x)=g'(h(x))*h'(x)

Natural Exponential/Logarithmic Derivative and Exponential Derivative

f(x)=e^x

f'(x)=e^x

f(x)=ln x

f'(x)=1

        x

f(x)=b^x

f'(x)=b^x ln b