Find the derivative of 4 it in its simplest form and express
Find the derivative of 4 it in its simplest form and express
Solution
f(x) = 4 + 3/(x + 2/(x+1) f(x) = 4 + 3(x+1)/(x^2+x+2) f\'(x) = 0 + 3 [(x^2+x+2)d/dx(x+1)-(x+1)d/dx(x^2+x+2)]/(x^2+x+2)^2 f\'(x) = 3[(x^2+x+2) - (x+1)(2x+1)]/(x^2+x+2)^2 f\'(x) = 3[(x^2+x+2) - 2x^2 - 3x - 1]/(x^2+x+2)^2 f\'(x) = 3[-x^2 - 2x + 1]/(x^2+x+2)^2