Question: The maximum point on the curve with the equation y=xsin^0.5x where 0<x<pi is A. Show that the x coordinate of A satisfies the equation 2tanx+x=0.
I've differentiated it to sin^0.5x +xcosx/2sin^0.5x, but cant work out how to get the maximum point.
Question: The maximum point on the curve with the equation y=xsin^0.5x where 0<x<pi is A. Show that the x coordinate of A satisfies the equation 2tanx+x=0.
I've differentiated it to sin^0.5x +xcosx/2sin^0.5x, but cant work out how to get the maximum point.
Ok so I've done that, but how do I work out the x coordinate of A.
You don't have to. It simply asks you to show that it satisfies that equation and you've done it. It's a transcendental equation anyhow so you cannot solve it using analytical methods, unless you say x=0 but that's not the only solution.
You don't have to. It simply asks you to show that it satisfies that equation and you've done it. It's a transcendental equation anyhow so you cannot solve it using analytical methods, unless you say x=0 but that's not the only solution.