If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Differential Calculus (2017 edition)

Course: Differential Calculus (2017 edition) > Unit 11

Lesson 1: Linear approximation
Math
Differential Calculus (2017 edition)
Derivative applications
Linear approximation
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Approximation with local linearity

AP.CALC: CHA‑3 (EU), CHA‑3.F (LO), CHA‑3.F.1 (EK)
Google Classroom
You might need: Calculator

Problem

Let h be a differentiable function with h, left parenthesis, minus, 6, right parenthesis, equals, 2 and h, prime, left parenthesis, minus, 6, right parenthesis, equals, minus, 1.
What is the value of the approximation of h, left parenthesis, minus, 6, point, 2, right parenthesis using the function's local linear approximation at x, equals, minus, 6?
Choose 1 answer:
Stuck?
Stuck?