Question

exercise 0.1.14: find a solution to (x0)2 x2 = 4 using your knowledge of derivatives of functions that you know from basic calculus.

Answer 1

To find the solution to the equation (2x)²(x-1)² = 4, we can solve it using our knowledge of derivatives. The two possible solutions are x = 1/2 and x = 1.

Step-by-step explanation:

To find the solution to the equation (2x)²(x-1)² = 4, we can solve it using our knowledge of derivatives. First, we take the square root of both sides, which gives us (2x)(x-1). Next, we rearrange the equation to form a quadratic equation: 2x² - 3x + 1 = 0. To solve this quadratic equation, we can use the quadratic formula: x = (-b ± sqrt(b² - 4ac)) / (2a). Plugging in the values from our equation, we get the two possible solutions: x = 1/2 and x = 1.