# How do you find the derivative of f(x)=(x^2-5x+2)(x-2/x)?

Oct 7, 2015

#### Answer:

$f ' \left(x\right) = 3 {x}^{2} - 10 x + \frac{4}{x} ^ 2$

#### Explanation:

$f \left(x\right) = {x}^{3} - 5 {x}^{2} + 2 x - 2 x + 10 - \frac{4}{x}$

$f \left(x\right) = {x}^{3} - 5 {x}^{2} + 10 - \frac{4}{x}$

$f ' \left(x\right) = 3 {x}^{2} - 10 x + \frac{4}{x} ^ 2$