What is the derivative of $f(x) = x(2-x)^2$ ?

Dec 16, 2016

No product rule is required if one simply expands the quadratic.

$f(x) = x(4 - 4x + x^2) = x^3 - 4x^2 + 4x$

$=> color(blue)(f'(x) = 3x^2 - 8x + 4)$

1363 views around the world

You can reuse this answer
Creative Commons License

What is the derivative of f(x) = x(2-x)^2f(x) = x(2-x)^2?