$If f (x) = ∣ ∣ x + a^{2} a b a c a b x + b^{2} b c a c b c x + c^{2} ∣ ∣, then prove that$
$f^{'} (x) = 3 x^{2} + 2 x (a^{2} + b^{2} + c^{2})$ .

Views: 770 students

Found 3 tutors discussing this question

Theodore Discussed

If f (x) = ∣ ∣ x + a^{2} a b a c a b x + b^{2} b c a c b c x + c^{2} ∣ ∣, then prove that

f^{'} (x) = 3 x^{2} + 2 x (a^{2} + b^{2} + c^{2})

6 mins ago

Discuss this question LIVE

6 mins ago

Question Text

If f (x) = ∣ ∣ x + a^{2} a b a c a b x + b^{2} b c a c b c x + c^{2} ∣ ∣, then prove that

f^{'} (x) = 3 x^{2} + 2 x (a^{2} + b^{2} + c^{2})

Filo tutor solution