Question

Найти производную (x-1/x+1/x²)*(2+5x-3x²

Answer 1

$(x- \frac{1}{x} + \frac{1}{ x^{2} })*(2+5x-3 x^{2} )' = \\ \\ = (x- \frac{1}{x} + \frac{1}{ x^{2} })'*(2+5x-3 x^{2} ) + (x- \frac{1}{x} + \frac{1}{ x^{2} })*(2+5x-3 x^{2} )' = \\ \\ = (1+ \frac{1}{x^2} - \frac{2}{ x^{3} })*(2+5x-3 x^{2} ) + (x- \frac{1}{x} + \frac{1}{ x^{2} })*(5-6 x)$