if y = tan-1 x, find d2y/dx2 in terms of y alone

y = tan-1x x = tanydydx=11+x2d2ydx2=1+x2×0-2x1+x22=-2x1+x22=-2tany1+tan2y2=-2tanysec2y2=-2tany×cos4y=-2sinycos3y

  • 21
What are you looking for?