Home
Class 12
MATHS
" If " f(x) = |{:(3,,3x,,3x^(2)+2a^(2))...

`" If " f(x) = |{:(3,,3x,,3x^(2)+2a^(2)),(3x,,3x^(2)+2a^(2),,3x^(3)+6a^(2)x),(3x^(2)+2a^(2),,3x^(3)++6a^(2)x,,3x^(4)+12a^(2)x^(2)+2a^(4)):}|` then

A

`(df)/dx=0`

B

`y=f(x)` is a straight line parallel to `x`-axis

C

`int_(0)^(2) f(x) dx =32a^(4)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Similar Questions

Explore conceptually related problems

x^(3) + 3x^(2) + 3x + 2 = (x+2) (………)

If |{:(a,a+x^(2),a+x^(2)+x^(4)),(2a,3a+2x^(2),4a+3x^(3)+2x^(4)),(3a,6a+3x^(2),10a+6x^(2)+3x^(4)):}| = a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+a_(4)x^(4)+a_(5)x^(5)+a_(6)x^(6)+a_(7)x^(7) and f(x) =+ a_(0)x^(2)+a_(3)x+a_(6) then

Let f(x) =|{:(secx,x^(2),x),(2sinx,x^(3),2x^(2)),(tan3x,x^(2),x):}|lim_(x to 0)f(x)/(x^(4)) is equal to

If Delta (x) =|{:(4x-4,(x-2)^(2),x^(3)),(8x-4sqrt(2),(x-2sqrt(2)^(2)),(x+1)^(3)),(12x-4sqrt(3),(x-2sqrt(3))^(2),(x-1)^(3)):}| then

Divide 3x^(3)+x^(2)+2x+5 by 1+2x+x^(2) .

If Delta (x) =|{:(x^(2)-5x+3,2x-5,3),(3x^(2)+x+4,6x+1,9),(7x^(2)-6x+9,14x-6,21):}| = ax^(3) +bx^(2)+cx+d , then

Divide 3x^(3)+x^(2)+2x+5" by "1+2x+x^(2) .

If f(x) = {{:(x - 3",",x lt 0),(x^(2) - 3x + 2",",x ge 0):} , then g(x) = f(|x|) is

If f(x) = 3(2x + 3)^(2//3) + 2x + 3 , then

((2x-1))/(3) ge ((3x-2))/( 4) - ((2-x))/(5)