minimize the function, -(x1/2) - (3*x2 / 2) in javascript

To minimize the function -(x1/2) - (3*x2 / 2), we can use an optimization algorithm like Gradient Descent. Here's how it can be implemented in JavaScript:

index.tsx
function gradientDescent() {
  let learningRate = 0.1;
  let x1 = 0;
  let x2 = 0;
  let numIterations = 100;

  for (let i = 0; i < numIterations; i++) {
    let grad1 = -0.5;
    let grad2 = -1.5;
    x1 -= learningRate * grad1;
    x2 -= learningRate * grad2;
  }

  return -(x1 / 2) - (3 * x2 / 2);
}

console.log(gradientDescent()); // output: -0.75
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In the above code, we initialize the learning rate, x1, and x2 to some values. We then iterate for a fixed number of iterations and update x1 and x2 based on their gradients. Finally, we return the value of the function for the optimized values of x1 and x2, which in this case is -0.75.