Let f (x) = Vx + 2 and a = –1. a) Find the derivative of f (a) using the limit definition lim f(a+h)-f(a) h→0 b) Find the tangent line at (a, f (a)). c) Graph the function and the tangent line in Desmos.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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Let f (x) = vx +2 and a = -1.
%3D
f(a+h)-f(a)
a) Find the derivative of f (a) using the limit definition lim
h-0
h
b) Find the tangent line at (a, f (a)).
c) Graph the function and the tangent line in Desmos.
Transcribed Image Text:Let f (x) = vx +2 and a = -1. %3D f(a+h)-f(a) a) Find the derivative of f (a) using the limit definition lim h-0 h b) Find the tangent line at (a, f (a)). c) Graph the function and the tangent line in Desmos.
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