`f(x) = 12` Find the derivative of the function by the limit process.

Textbook Question

Chapter 2, Review - Problem 1 - Calculus of a Single Variable (10th Edition, Ron Larson).
See all solutions for this textbook.

2 Answers | Add Yours

nees101's profile pic

nees101 | Student, Graduate | (Level 2) Adjunct Educator

Posted on

Given the function f(x)=12. We have to find its derivative using limit process.

By definition of derivative by limit process we have,

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

`=lim_(h->0)(12-12)/h`

`=0`

Therefore the derivative of 12 is 0.

hkj1385's profile pic

hkj1385 | (Level 1) Assistant Educator

Posted on

As per the limit process:-

f'(x) = lim h---> 0 [f(x+h) - f(x)]/h

Now, 

f(x) = 12

Thus, f(x+h) = 12

Hence

f'(x) = lim h---> 0 [12-12]/h = 0

We’ve answered 318,915 questions. We can answer yours, too.

Ask a question