<prompt> Find the second derivative of the following equation: y 4x2 3x 5  <response>: To find the second derivative of the equation, we need to take the derivative of the first derivative. Lets start by finding the first derivative:y 4x2 3x 5dydx 24x2-1 3dydx 8x 3Now that we have the first derivative, we can find the second derivative by taking the derivative of the first derivative:ddydxdx d8x3dxd2ydx2 8The second derivative of the equation y 4x2 3x 5 is 8. 