`f(x) = -10x` Find the derivative of the function by the limit process.

Expert Answers
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To find the derivative of the function `f(x)=-10x` using the limit process use the fact that the slope is

`m=lim_(h->0)(f(x+h)-f(x))/(h)`

`=lim_(h->0)(-10(x+h)-(-10x))/(h)`

`=lim_(h->0)(-10x-10h+10x)/h`

`=lim_(h->0)(-10h)/(h)`  

`=lim_(h->0)(-10)`

`=-10`

The derivative of the function using the limit process is -10.