Question

Найти f'(x)
1)f(x) =1/(5x+1)^3
2)f(x)=(9x+5)^4

Answer 1

f(g(x))' = f'(g(x))·g'(x)

$1)f(x)=\frac{1}{(5x+1)^3} \\ \\ f'(x)=-\frac{15x}{(5x+1)^4} \\ \\ 2)f(x)=(9x+5)^4\\ \\ f'(x)=36(9x+5)^3$