0

Guest

Courses New

Show that the fn f given by f(x)= x 3 -3x 2 +4x , (x belongs to R) is strictly increasing .

Show that the fn f given by f(x)= x3-3x2+4x ,        (x belongs to R) is strictly increasing .

Grade:12

2 Answers

sahil
142 Points
5 years ago
See in these type of question first differentiate it and then if the equation obtained after differentiating is positive for all x then it is increasing. So after dy/dx we get 3x^2-6x+4 and it can be written as 3x(x-2)+4 now we see as we take x greater or equal to 2 the equation is positive and also when we take x less than or equal to 0 the equation is also positive. Now the only values of x left is 0
sahil
142 Points
5 years ago
See in these type of question first differentiate it and then if the equation obtained after differentiating is positive for all x then it is increasing. So after dy/dx we get 3x^2-6x+4 and it can be written as 3x(x-2)+4 now we see as we take x greater or equal to 2 the equation is positive and also when we take x less than or equal to 0 the equation is also positive. Now the only values of x left is 0

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More