Find the maximum value of \(2x + 2\sqrt{x(1-x)}\) when \(0 \leq x \leq 1.\)
+1005 Ooh. Need to let Alan the Grapher do this one.
I'm not experienced enough!
I'll delete my answer now.
+33616 Differentiate the expression with respect to x. Set the result to zero and find the value of x which makes it zero. Plug this value back in to the first expression to find the maximum value of the expression.
hi alan! thanks for answering. what do you mean by differentiate the expression though?
+1005 Differentiate the equation is calculus...
I haven't learned that but I'm learning it now with my Algebra brain...
https://www.mathsisfun.com/calculus/differential-equations.html
+33616 In calculus the slope of a curve is obtained by a process called differentiation. If you haven't done any calculus then clearly you can't obtain the maximum this way! What way have you been taught to obtain the maximum?
+1005 Ah, I'll assume you were talking to guest...
i haven't learned this yet so I thought using algebra was enough...
apparently not!
lesson learned, don't replace calculus with algebra.... thanks newton.
