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 every twice differentiable function f : R  [–2, 2] with (f(0))2 + (f(0))2 = 85, which of the following statement(s) is (are) TRUE? (A) There exist r, s  R, where r (B) There exists x0  (–4, 0) such that |f(x0)|  1 (C) x lim f(x) 1   (D) There exists   (–4, 4) such that f() + f() = 0 and f()  0

For every twice differentiable function f : R  [–2, 2] with (f(0))2
 + (f(0))2
 = 85, which of the following 
statement(s) is (are) TRUE?
(A) There exist r, s  R, where r
(B) There exists x0  (–4, 0) such that |f(x0)|  1
(C) 
x
lim f(x) 1


(D) There exists   (–4, 4) such that f() + f() = 0 and f()  0

Grade:12

1 Answers

Arun
25763 Points
2 years ago

L.M.V.T. in [–4, 0]

|f'(x1)| ≤ 1 for some x1 ∈ (0, 4)

g(x) = (f(x))2 + (f'(x))2
g(x0≤   5, g(x1≤   5
g(0) = 85 it has a local maximum having value  85
Say α
g'(α) = 0, g''(α 0
2f(α)f'(α) + 2f'(α)f''(α) = 0
f'(α)(f(α) + f'(α)) = 0
as f'(α 0

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