### Derivative Rules

Derivative Rules We know that if $displaystyle y=f(x)$ then the derivative is defined to be $displaystyle f'(x)=underset{{hto 0}}{mathop{{lim }}},frac{{f(x+h)-f(x)}}{h}$ Some notions we use when we write the derivative are: $displaystyle y’=f'(x)=frac{{df}}{{dx}}=frac{{dy}}{{dx}}$ Determining the derivative of a function using the definition sometimes it  requires a lot of work and it’s easy to make mistakes so […]
The derivative using the limit definition Definition The derivative of the function $displaystyle f$ at the point a is the limit when $displaystyle hto 0$ of the function, if this limit exists. We label it f´(a) and $displaystyle f'(a)=underset{{hto 0}}{mathop{{lim }}},frac{{f(a+h)-f(a)}}{h}$ When the function$displaystyle f$ is derivative on the point \$ displaystyle […]