0

Guest

Courses New

verify rolle’s theorm f(x) = x 2 – 5x 2 +4x in the interval [0,4]

verify rolle’s theorm
f(x) = x2 – 5x2+4x in the interval [0,4]

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
It should be
f(x) = x³ -5x² +4x 
Now
f(4) = 0
f(0) = 0
Now
f'(x) = 3x² - 10x +4
f'(c) = 0
i.e.
3c² - 10c +4 = 0
c = [10 ± sqrt(52)] /6
Hence rolle's theorem is satisfied.

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

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