Question

How do you calculate derivatives$?$

Answer 1

$\underset{h\to 0}{\lim }\frac{f\left(x+h\right)-f\left(x\right)}{h}$

The derivative of a function can be found by evaluating the limit and then:

1.Find $f\left(x+h\right).$

2.Plug $f\left(x+h\right),f\left(x\right)$ and $h$ into a derivative of the limit definition.

3. Simplify the difference quotient.

4.Take the limit as $h$ approaches $0,$ of the simplified difference quotient.