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 Tunmzy — missed you this week. The question asks about the normal to a curve at a point where f'(x) = 0. Step 1: Understand the meaning of f'(x) = 0. The derivative f'(x) represents the slope of the tangent line to the curve at a given point x. If f'(x) = 0, it means the tangent line at that point is horizontal. Step 2: Understand the relationship between a tangent and a normal. The normal line to a curve at a point is perpendicular to the tangent line at that same point. Step 3: Determine the orientation of the normal line. If the tangent line is horizontal (slope m_t = 0), then the normal line, being perpendicular to it, must be vertical. The slope of a vertical line is undefined. The correct option is C. The normal to a curve at a point where f'(x) = 0 is a Vertical line. Send me the next one 📸