logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XI  >>  Math  >>  Limits and Derivatives
0 votes

Find the derivative of $99x$ at $ x = 100$.

Can you answer this question?
 
 

1 Answer

0 votes
Let $f(x)=99x$. Accordingly,
$ f'(100) \lim\limits_{h \to 0} \large\frac{f(100+h)-f(100)}{h}$
$= \lim\limits_{h \to 0} \large\frac{99(100+h)-99(100)}{h}$
$= \lim\limits_{h \to 0} \large\frac{99 \times 100+99h-99 \times 100}{h}$
$= \lim\limits_{h \to 0} \large\frac{99h}{h}$
$= \lim\limits_{h \to 0}(99) = 99$
Thus, the derivative of $99x$ at $x =100$ is $99$
answered Apr 7, 2014 by thanvigandhi_1
 
Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...