Question

Найдите производную функции f(x) = (5+3х )^3.
1) 3(5+3 х )^2
2) (5+3 х )^2
3) -3(5+3 х )^3
4) -(5+3 х )^2.

Answer 1

f(x) = (5+3х )^3.

f'(x) = ((5+3х )^3)'=3(5+3х)^2*(5+3х)'=3(5+3х)^2*3=9(5+3х)^2