Question

Найти производные функции
А) g (x) = 5x°2 - 9x°3 +5 -4x
B) f (x) = x°5 * (7x+3)

Answer 1

$A) \ g'(x) = (5x^2 - 9x^3 +5 -4x)' = (5x^2)' - (9x^3)' +5' -(4x)' = \\ \\ = 10x - 27x^2 -4$

$B) \ f'(x) = (x^5 * (7x+3))' = (7x^6 +3 x^{5} )' = 42 x^{5} + 15 x^{4}$