" (t) "(1)/(3+2x-x^(2))

Differentiate w.r.t. as indicated : "tan"^(-1)(3x-x^(3))/(1-3x^(2))" w.r.t. ""tan"^(-1)(2x)/(1-x^(2))

If F(x)=(1)/(x^(2))int_(2)^(x)(sqrt(t^(3)-t^(2)+3t-10+cos^(3)((t-2)/(2)))-2F'(t))dt then F'(2) is equal to-

If x+y=t+(1)/(t) and x^(3)+y^(3)=t^(3)+(1)/(t^(3)) then prove that (dy)/(dx)=-(1)/(x^(2))

If x+y=t+(1)/(t) and x^(3)+y^(3)=t^(3)+(1)/(t^(3)) then prove that (dy)/(dx)=-(1)/(x^(2))

If t=(2sqrt(2)-(1+sqrt(3)))/(sqrt(3)-1) and f(x)=(2x)/(1-x^(2))g(x)=(3x-x^(3))/(1-3x^(2)) then (d)/(dt){f(g(t))}=

Integrate the following w.r.t.x : (a) x^(3)+2x +1 " " (b) (1)/(2x+3) (c) cos^(2)x

Differentiate w.r.t. as indicated : tan^(-1)((3x-x^(3))/(1-3x^(2)))" w.r.t. "tan^(-1)((x)/(sqrt(1-x^(2))))

Integrate the following w.r.t.x. (3x+1)/((x-2)^(2)(x+2))

Find the derivatives w.r.t. x : y=(1-x)(1-2x)(1-3x^(2))