. Найти производную: f (x) = (2x-1)^5

: f '(x) = 10 (2x-1)⁴ .

f (x) = (2x-1)⁵ ;

f '(x) = [ (2x-1)⁵ ] ' = 5 * (2x-1)⁴ * (2x-1)' = 5 * (2x-1)⁴ *( 2 * 1 + 0 ) = 10 (2x-1)⁴ .

f '(x) = 10 (2x-1)⁴ .