equation of the tangent line
Chinese equivalent: 切线方程
equation of the tangent line Given a point (x₀, y₀) on a curve and the derivative f'(x₀) at that point, the tangent line equation is y - y₀ = f'(x₀)(x - x₀).
Syllabus path: Functions › Preliminary Derivatives › Geometric Meaning of Derivative
CSCA Exam Prep
This term 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 Exam Glossary
Definition
equation of the tangent line Given a point (x₀, y₀) on a curve and the derivative f'(x₀) at that point, the tangent line equation is y - y₀ = f'(x₀)(x - x₀).
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.