0 votes
466 views
in Derivatives by (37.2k points)
closed by

Find the intervals in which the function is

\(f(x) = \) \(\frac{3}{2}x^4-\) 4x3 - 45x2 + 51

(a) strictly increasing 

(b) strictly decreasing.

1 Answer

+1 vote
by (34.6k points)
selected by
 
Best answer

Here,

 \(f(x) = \) \(\frac{3}{2}x^4-\) 4x3 - 45x2 + 51

Now for critical point f'(x) = 0,

6x(x + 3) (x - 5) = 0

x = 0, - 3, 5

i.e., - 3, 0,5 are critical points which divides domain R of given function into four disjoint sub intervals (- ∞, - 3),(- 3 ,0),(0,5),(5,∞).

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...