2-dimensional bowl

Calculus Level 3

The ends \(A\) and \(B\) of a rod of length of \(\sqrt{5}\) are sliding along the curve \(y=2x^2\). Let \(x_A\) and \(x_B\) be the \(x\)-coordinates of the ends. At the moment when \(A\) is at \((0,0)\) and \(B\) is at \((1,2)\). Find the value of the derivative \(\dfrac{dx_B}{dx_A}\).

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2-dimensional bowl

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.