This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back Senior — missed you this week. Step 1: Differentiate y with respect to t. Given y = t, we find (dy)/(dt): (dy)/(dt) = (d)/(dt)( t) = - t Step 2: Differentiate x with respect to t. Given x = 3t, we find (dx)/(dt) using the chain rule: (dx)/(dt) = (d)/(dt)( 3t) = (3t) · (d)/(dt)(3t) = 3(3t) Step 3: Use the chain rule for parametric differentiation to find (dy)/(dx). (dy)/(dx) = (dy/dt)/(dx/dt) = (- t)/(3 3t) The final answer is (dy)/(dx) = -( t)/(3 3t). Send me the next one 📸