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 $ x^5(3-6x^{-9})$

Can you answer this question?
 
 

1 Answer

0 votes
By Leibnitz product rule
$ f'(x) =x^5 \large\frac{d}{dx}$$(3-6x^{-9})+(3-6x^{-9}) \large\frac{d}{dx}$$(x^5)$
$ = x^5 \{0-6(-9)x^{-9-1} \}+ (3-6x^{-9})(5x^4)$
$ = x^5 (54x^{-10})+15x^4-30x^{-5}$
$ = 54x^{-5}+15x^4-30x^{-5}$
$ = 24x^{-5}+15x^4$
$ = 15x^4+ \large\frac{24}{x^5}$
answered Apr 9, 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
...