68
2) (x-4)^7 =7*(x-4)^(7-1)=7(x-4)^6
4) √(x+5)=1/2 * (x+5)^(1/2 -1)=1/2 * (x+5)^-1/2 = 1/2√(x+5)
6) 1/(x-1)^3 = (x-1)^(-3) = 3* (x-1)^(-3-1) = 3 / (x-1)^4
8) 3/ ∛(x-4) = 3*(x-4)^(-1/3-1)=3*(x-4)^(-4/3)
69
2) (5x-4)^6 = 5*6*(5x-4)^(6-1)=30*(5x-4)^5
4) 4/ (3x-1)^2 = 4*(-2)*3*(3x-1)^(-2-1)= -24/(3x-1)^(3)
6)1/(4-3x)^5 = (4-3x)^(-5)= -5* (-3)*(4-3x)^(-5-1) = 15/(4-3x)^6
70
2) ∛(4x+1) = 4*1/3*(4x+1)^(1/3-1)=4*/3 (4x+1)^(2/3)
4) 1/ √(4x+1) =(4x+1)^ (-1/2) = -1/2*4*(4x+1)^(-1/2-1)= -2*(4x+1)^(-3/2)
6) 5/ ∛(2-9x)=5*(-1/3)*(-9)*(2-9x)^(-1/3-1)=15*(2-9x)^(-4/3)
71
cos^2 (x)=-2sin(x)* cos(x)
4) sin ^4 (x) = 4sin^3( x) cos(x)
6) e^(-x^4)= -4 e^(-x^4)x^3
8) ln(-2x)= 1/x