0

Guest

Courses New

Suppose f is a differentiable function on the interval [ 0 , 2 ] [0,2 ]and the derivative does not vanish at any point in that interval. Then f f can only have extrema at x = 0 x=0 or x=2. True or False ? With reason x = 2

Suppose f is a differentiable function on the interval [0,2] [0,2 ]and the derivative does not vanish at any point in that interval.
Then ff can only have extrema at x=0x=0 or x=2. True or False ? With reasonx=2

Grade:Upto college level

1 Answers

PASUPULETI GURU MAHESH
126 Points
8 years ago
TRUE, SINCE THE FUNCTIONderivative does not vanish at any point in that interval. SO THERE IS NO POSSIBLE TO DETERMINE CRITICAL POINTS.AND THERE IS NO CRITICAL POINTS OF THE FUNCTION WE FIND LOCAL EXTREME VALUES BY USING END POINTS. SO F HAVE extrema at x=0x=0 or x=2. IS True LOCAL

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