The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
0 votes
342 views

consider the following function f(x) = x3 /3+ x2 /2 -6x+1000

find the intervals on which f is increasing.

Is my solution right approach for this kind of numerical??

Caption
asked in Calculus by Boss (7.9k points) | 342 views

1 Answer

+2 votes
For finding the interval in which given function is increasing or decreasing ,there is no need to calculate maxima or minima.

Just differentiate the function and find roots of f'(x), and then check where sign of f(x) is positive or negative.

here f'(x) =  x^2 + x -6 = 0 => x =  -3 , 2

for x ∈ (-∞,-3] ∪ [2 ,∞) , f'(x) >= 0 ,hence slope of function is increasing in this interval.Hence f(x) is increasing.

I hope you can find unnecessary steps in your solution.
answered by Loyal (3.5k points)


Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

29,017 questions
36,844 answers
91,382 comments
34,721 users