Find the derivative of f(x)=(x2+1)(x3−2)f(x) = (x^2 + 1)(x^3 - 2)f(x)=(x2+1)(x3−2) using the product rule.
5x4+3x2−4x5x^4 + 3x^2 - 4x5x4+3x2−4x
2x4−4x2x^4 - 4x2x4−4x
5x4+3x2−4x+15x^4 + 3x^2 - 4x + 15x4+3x2−4x+1
x5−2x2+x3−2x^5 - 2x^2 + x^3 - 2x5−2x2+x3−2