3) f(x) = (2x+7)⁻⁴ -(1-x)³
f'(x) = -4(2x +7) ⁻⁵ * 2 - 3(1 -x)² *(-1) = -8/(2x +7)⁵ + 3(1 - х)²
f'(-3) = -8/(-6+7)⁵ + 3*4² = -8 + 48 = 40
4) f(g(x)) = x -4√x
(f(g(x)))' = 1 -4/2√x = 1 - 2/√x
5) g(x) = - Сtgx + Ctgπ/2 = -Сtgx +0 = -Ctgx
g'(x) = 1/Sin²x = 1/Sin²x * Cos²x/Cos²x = (Cos²x/Sin²x) * 1/Cos²x =
=(g(x)/Cosx )²