А) f ' (x)= 15x⁴-24x+6
f ' (1)= 15*1⁴-24*1+6=15-24+6= -3
б) f ' (x)=sinx + x cosx
f ' (π/2) = sin π/2 + π/2 cos π/2 = 1+0=1
a) f(x) = 2x+1
x-3
f ' (x) = 2(x-3)-(2x+1) = 2x-6-2x-1 = -7
(x-3)² (x-3)² (x-3)²
б) f(x)=5 ⁵√x³ =5 x^(3/5)
f ' (x) = 3x^(-2/5) = 3
⁵√x²
в) f(x)= 5^(x)
f ' (x) = 5^(x)* ln5
г) f(x) = √(2x-1)
f ' (x)= 2 = 1
2√(2x-1) √(2x-1)