Differentiate (i) ` x^(-3) ` (ii) ` root3(x)`

Differentiate (i) sinx^(3) , (ii) sin^(3)x , (iii) e^(sinx)

Differentiate :(i) xe^(x) , (ii) x^(2)e^(x) sin x

DIfferentiate (i) 3x^(-5) (ii) 1/(5x) (iii) root3(x^(2))

Differentiate (i) 1/x (ii) 1/sqrtx (ii) 1/root3(x)

Differentiate (i) sqrt((1+x)/(1-x)) , (ii) (x)/(sqrt(1-x^(2)))

Differentiate : (i) (ax + b)^(m) , (ii) (3x+5)^(6) , (iii) sqrt(ax^(2) + 2bx + c)

Differentiate : (i) (e^(x))/(x) , (ii) ((2x+3)/(x^(2) - 5)) , (iii) (e^(x))/((1+sinx))

Differentiate : (i) y = sin (x^2) (ii) y = sin^2 x

Differentiate (i) 6ax^(5)+ 4x^(3) -3x^(2) +2x -7 (ii) 5x^(-3//2) + 4/sqrtx + sqrtx -7/x (iii) ax^(3) + bx^(2) + cx+ d, where a,b,c,d are constants

Differentiate PS I and PS II.