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 — been a while! Let's pick up where you left off. Step 1: The given expression for (dy)/(dx) is: (dy)/(dx) = 10x^4 + 16x^3 - 3x^2 + 6x - 5 Step 2: Substitute x=2 into the expression. (dy)/(dx) |_x=2 = 10(2)^4 + 16(2)^3 - 3(2)^2 + 6(2) - 5 Step 3: Calculate the powers of 2. (dy)/(dx) |_x=2 = 10(16) + 16(8) - 3(4) + 6(2) - 5 Step 4: Perform the multiplications. (dy)/(dx) |_x=2 = 160 + 128 - 12 + 12 - 5 Step 5: Perform the additions and subtractions. (dy)/(dx) |_x=2 = 288 - 12 + 12 - 5 (dy)/(dx) |_x=2 = 276 + 12 - 5 (dy)/(dx) |_x=2 = 288 - 5 (dy)/(dx) |_x=2 = 283 Drop the next question 📸