The function f defined by f(x) = 4x4 - 2x + 1 is increasing for :
x < 1
x > 0
x < 1/2
x > 1/2
D.
x > 1/2
We have, f(x) = 4x4 - 2x + 1
f'(x) = 16x3 - 2
Put f'(x) = 0 for maxima and minima
A particle moves in a straight line so that s = , then its acceleration is proportional to :
(velocity)3
velocity
(velocity)2
(velocity)3/2
If A and B are 2 x 2 matrices, then which of the following is true ?
(A + B)2 = A2 + B2 + 2AB
(A - B)2 = A2 + B2 - 2AB
(A - B)(A + B) = A2 + AB - BA - B2
(A - B)(A + B) = A2 - B2