1. The problem statement, all variables and given/known data Find the tangent line and the normal line to the curve y=(1+2x)^2 at the point (1,9). 2. Relevant equations f'(x)= [f(x+h) - f(x)] / h ->plug in x=1 f'(x)= [f(x+h) - f(x)] / h ->plug in (x+h) Power Rule Power Rule (after factoring out the polynomial) 3. The attempt at a solution I tried to solve it 4 different ways using the above 4 different approaches: Plugging in x=1 for the derivative formula yields 12 Plugging in (x+h) for the derivative formula yields 4+8x Using the power rule for (1+2x)^2 = 2(1+2x) = 2+4x (simplified version of 4+8x) Using the power rule after factoring out the polynomial is 1+4x+4x^2 = 4+8x Regarding the first attempt, I thought I could plug in the x-coordinate to get the tangent equation. Since when is that wrong?