0

Guest

Courses New

for what value of , the function f(x)=2cos2x-cos4x attains its absolute minimum in [0,pi]

for what value of , the function f(x)=2cos2x-cos4x

attains its absolute minimum in [0,pi]

Grade:12th pass

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
8 years ago
f`(x) = -4sin 2x + 4sin4x = 0
sin 2x = sin 4x
sin 2x = 0 , or , cos 2x = 1/2
x = 0,90 or x = 30
f``(x) = -8cos2x + 16cos4x
Hence, absolute minimum is at x = 90 which is f(x) = -3
Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on 10 grade maths

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