Derivation of F (x) = (2x + 1) / (x ^ 2 + 2)

Derivation of F (x) = (2x + 1) / (x ^ 2 + 2)

F (x) = (2x + 1) / (x ^ 2 + 2) f '(x) = [(2x + 1)' (x ^ 2 + 2) - (2x + 1) (x ^ 2 + 2) '] / (x ^ 2 + 2) ^ 2 according to (U / V)' = (u'v-uv ') / V ^ 2 = [2 (x ^ 2 + 2) - (2x + 1) * 2x] / (x ^ 2 + 2) ^ 2 = (2x ^ 2 + 4-4x ^ 2-2x) / (x ^ 2 + 2) ^ 2 = - 2 (x ^ 2 + X + 2) / (x ^ 2 + 2) ^ 2

F (x) = x ^ 2-AlN (2x + 1)
RT

f‘=2x-2a/(2x+1)

How to derive (1-x) ^ n + (1 + 2x) ^ n = f (x)?

f(x)=(1-x)^n+(1+2x)^n
f'(x)=n(1-x)^(n-1)*(1-x)'+n(1+2x)^(n-1)*(1+2x)'
=-n(1-x)^(n-1)+2n(1+2x)^(n-1)
If you don't understand, I wish you a happy study!