Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

For what value of , the function f(x)=sinx+1/2cos2x attains its absolute maximum in [0 ,pi/2]?

For what value of , the function f(x)=sinx+1/2cos2x
attains its absolute maximum in
[0 ,pi/2]?

Grade:12th pass

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
7 years ago
Differentiate f(x),
f`(x) = cos x - sin 2x = 0
cos x = 2 sin x cos x
sin x = 1/2
x = 30 degrees
f``(x) = -sin x - 2cos2x which is negative at x = 30. Hence, it is a maximum
f(x) = 1/2 + 1/4 = 3/4 at x = 30
THanks
Bharat Bajaj
IIT Delhi
askiitians faculty

Think You Can Provide A Better Answer ?

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

ASK QUESTION

Get your questions answered by the expert for free