6) f (x) = 1 (5x+1)3 r) f (x) = (6x-1)5 6) f (x) = (x-7)-(1-2x)4; r) f (x) = (5x-2)13- (4x+7)-6.

б) f(x) = \(\frac{1}{(5x + 1)^3}\) = (5x + 1)^-3 f'(x) = -3 * (5x + 1)^-4 * 5 = -\(\frac{15}{(5x + 1)^4}\)

г) f(x) = \(\frac{1}{(6x - 1)^5}\) = (6x - 1)^-5 f'(x) = -5 * (6x - 1)^-6 * 6 = -\(\frac{30}{(6x - 1)^6}\)

б) f(x) = \((\frac{1}{4}x - 7)^{-8}\) - (1 - 2x)⁴ f'(x) = -8 * \((\frac{1}{4}x - 7)^{-9}\) * \(\frac{1}{4}\) - 4 * (1 - 2x)³ * (-2) = -\(\frac{2}{(\frac{1}{4}x - 7)^9}\) + 8(1 - 2x)³

г) f(x) = (5x - 2)¹³ - (4x + 7)^-6 f'(x) = 13 * (5x - 2)¹² * 5 - (-6) * (4x + 7)^-7 * 4 = 65(5x - 2)¹² + \(\frac{24}{(4x + 7)^7}\)