`d/(dx){1/2coth(x/2)-1/2c o t h^3x/2}`

(d)/(dx){(1)/(2)(:coth backslash(x)/(2)-(1)/(6)coth^(3)backslash(x)/(2)}=

(d)/(dx) {(1)/(sqrt(3x +2))}=

d/(dx){e^((1/2)log(1-Tanh^2x))+3^((1/2)log_(3)(coth^2x-1))}=

(d)/(dx) {Sin ^(-1) ((3x)/(2) - (x ^(3))/(2))}=

(d)/(dx){(x^(2)-x+1)/(x^(2)+x+1)}=

If d/(dx) {f(x)}=1/(1+x^2) then d/(dx){f(x^3)} is a) (3x)/(1+x^3) b) (3x^2)/(1+x^6) c) (-6x^5)/(1+x^6)^2 d) (-6x^5)/(1+x^6)

d/(dx)(cos^-1((1-x^2)/(1+x^2)))=

(d)/(dx) int_(2)^(x^(2)) (t -1) dt is equal to

(d)/(dx) {sin ^(2) ((1- x ^(2))/(1 + x ^(2)))}=