1. The problem statement, all variables and given/known data Hello, I ran into this problem in the middle of my physics homework: Using calculus, you can find a function’s maximum or minimum by differentiating and setting the result to zero. Do this for equation y = (u^2 / g)*sin(2x), differentiating with respect to x, and thus find the maximum range for x. u = initial velocity g= acceleration of gravity x = theta 2. Relevant equations Possibly x = ut for range? 3. The attempt at a solution It's been a several months since I've done this type of problem, but I tried to differentiate it through the quotient rule (and product rule) and got: (2*g*u^2*cos(2x) + 2*g*u*sin(2x) - u^2*sin(2x)) / g^2 I tried to set this to zero in order to find the maximum: 0 = (2*g*u^2*cos(2x) + 2*g*u*sin(2x) - u^2*sin(2x)) / g^2 but I couldn't figure out what to do and I had a suspicion I was doing everything wrong. Can anyone point out my mistakes / what to do next? Thanks!