Question

find the derivative of the attached problem (:

Answer 1

\[y = x^2 \tan^{-1} x\]

Answer 2

sorry but im confused....

Answer 3

OR\[\frac{ dy }{ dx }=2x \tan ^{-1}(x)+x^2(\frac{ 1 }{ x^2+1 })\]

Answer 4

so we are going to derive using the rule\[(f \times g)^'=f^'g+g^'f\]
the cap means derivative

Answer 5

product rule ,do you know this

Answer 6

yes. ok i understand your answer for the product rule so i get \[\frac{ x^2 }{ 1+x^2 } + 2x \tan^{-1} x\]
so can i simplify that anymore?

Answer 7

i think its sorted

Answer 8

okay thanks!