Normal Line Equation Formula
Given that the function y = f(x) is differentiable at the point x₀ and f'(x₀) eq 0, the equation of the normal line to the curve at the point (x₀, f(x₀)) is: y…
Syllabus path: Functions › Preliminary Derivatives › Geometric Meaning of Derivative
CSCA Exam Prep
This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
Practice related questions (12) · Start mock exam · Sign up — AI explanations · Membership plans
CSCA Mathematics Formula Reference
Formula and explanation
Given that the function y = f(x) is differentiable at the point x₀ and f'(x₀) eq 0, the equation of the normal line to the curve at the point (x₀, f(x₀)) is: y - f(x₀) = - (1)/(f'(x₀))(x - x₀) Applicable Condition: The function f(x) is differentiable at x₀, and f'(x₀) eq 0. Brief Explanation: The normal line is perpendicular to the tangent line, so its slope is the negative reciprocal of the tangent's slope.
Related tutorial and examples
Geometric Meaning of Derivative
Geometric Meaning of Derivative 1. Core Concepts Geometric Meaning: The derivative f'(x₀) of a function y = f(x) at x₀ represents the Slope of the Tangent Line to the curve at the point P(x₀, f(x₀)). k(tangent) = f'(x₀) Visual Intuition: Let P be a fixed point and Q be a moving p…
Plan your next CSCA study step
Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.