№1
a) f '(x) =3x*√x +(x²-1)/(2*√x)
б) f ' (x) = 2x +4
в) f '(x) = -12 / (5-4x)²
№2
f' (x) = 4x^(-3) ; f' (4) =x^-2=1/16
№3
f '(x) = 18(7-6x)^(-4) =18/(7-6x)^4
f '(x) =6cosx
f'(x) = 2+1/cos²x
№4
f '(x) =15sinx(3x-pi)
f '(pi/2) = 15sin(3pi/2 -pi) = 15sin(pi/2) =15*1=15
№5
f ' =2/√x -1/(10x²); f ' (1/9) =2/3 - 81/10 =20/30 -243/30 =
=-223/30 =-7 13/30
№6
F = 3*x^(5/2) +6√x
f ' =15/2 *x^(3/2) +3/√x
f '(1) = 15/2 +3 =15/2 +6/2 =21/2 =10 1/2