Home
Class 12
MATHS
[" Illustration "4.46quad " If "f(x)=|[x...

[" Illustration "4.46quad " If "f(x)=|[x+a^(2),ab,ac],[ab,x+b^(2),bc],[ac,bc,x+c^(2)]|" ,then "],[" prove that "f'(x)=3x^(2)+2x(a^(2)+b^(2)+c^(2))]

Promotional Banner

Similar Questions

Explore conceptually related problems

|(a^(2)+x,ab,ac),(ab,b^(2)+x,bc),(ac,bc,c^(2)+x)|

|[x^2+a^2,ab,ac] , [ab,x^2+b^2,bc] , [ac,bc,x^2+c^2]|=

|[x^2+a^2,ab,ac] , [ab,x^2+b^2,bc] , [ac,bc,x^2+c^2]|=

|[x^2+a^2,ab,ac] , [ab,x^2+b^2,bc] , [ac,bc,x^2+c^2]|=

f(x)=det[[x+a^(2),ab,acab,x+b^(2),bcab,bc,x+c^(2)]], find f'(x)

If f(x)={:abs((x+a^(2),ab,ac),(ab,x+b^(2),bc),(ac,bc,x+c^(2))):} , then find f'(x).

If f(x)=|x+a^2 a b ac a b x+b^2 bc a c b c x+c^2|, t h e n prove that f^(prime)(x)=3x^2+2x(a^2+b^2+c^2)dot

If a,b,c be real,then f(x)=det[[x+a^(2),ab,abab,x+b^(2),bcac,bc,x+c^(2)]] is decreasing on

show that |[a^2+x^2,ab ,ac],[ab,b^2+x^2,bc],[ac,bc,c^2+x^2]| is divisible x^4

Prove the following: [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2