x=(6ln^(3)1)/(cos2t)

If x=(sin^(3)t)/(sqrt(cos2t)),y=(cos^(3)t)/(sqrt(cos2t)) show that (dy)/(dx)=0att=(pi)/(6)

If x=sin^3t/(sqrtcos2t), y=cos^3t/sqrt(cos2t) show that dy/dx =0 at t=pi/6

If x=a sin2t(1+cos2t) and y=b cos2t(1-cos2t), find the values of (dy)/(dx) at t=(pi)/(4) and t=(pi)/(3)

Find the critical points of the function f(x)=(2)/(3)sqrt(x^(3))-(x)/(2)+int_(1)^(x)((1)/(2)+(1)/(2)cos2t-t^((1)/(2)))dt

If x=asin2t(1+cos2t) and y=bcos2t(1-cos2t), find the values of (dy)/(dx) at t=pi/4 and t=pi/3dot

int(d(1+log x))/(cos^(2)(1+log x))

int(cos4x-1)/(cot x-tan x)dx is equal to (A)(1)/(2)ln|sec2x|-(1)/(4)cos^(2)2x+c(B)(1)/(2)ln|sec2x|+(1)/(4)cos^(2)x+c(C)(1)/(2)ln|cos2x|-(1)/(4)cos^(2)2x+c(D)(1)/(2)ln|cos2x|+(1)/(4)cos^(2)x+c

lim_(n rarr0)(1-cos^(3)x+sin^(3)x+ln(1+x^(3))+ln(1+cos x))/(x^(2)-1+2cos^(2)x+tan^(4)x+sin^(3)x)

int sin2x.log cos xdx is equal to 1) cos^(2)x((1)/(2)+log cos x)+k 2) cos^(2)x*log cos x+k 3) cos^(2)x((1)/(2)-log cos x)+k 4) cos^(2)x+log cos x+k

If x,=e^(cos2t) and y=e^(sin2t), prove that (dy)/(dx),=-(y log x)/(x log y)