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

Textbook Question

Chapter 2, 2.1 - Problem 13 - Calculus of a Single Variable (10th Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

mathace's profile pic

mathace | (Level 3) Assistant Educator

Posted on

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.

We’ve answered 318,930 questions. We can answer yours, too.

Ask a question