Consider the function (a) Compute the derivative of f(x) directly from the limit definition. f(x+h)-f(x) h f'(x) = lim h→0 1 h→0 h = lim = : lim h→0 . (((4(x+h)-5)/(-4(x+h)-2))-(4x-5)/(-4x-2)) f(x) = (simplify to cancel h) 4x - 5 -4x - 2 = (b) Find an equation for the line tangent to y = f(x) at (−2, −1³). y = x+ (c) Find an equation for the line normal (ie perpendicular) to y = f(x) at (2, ³0). y = x+
Consider the function (a) Compute the derivative of f(x) directly from the limit definition. f(x+h)-f(x) h f'(x) = lim h→0 1 h→0 h = lim = : lim h→0 . (((4(x+h)-5)/(-4(x+h)-2))-(4x-5)/(-4x-2)) f(x) = (simplify to cancel h) 4x - 5 -4x - 2 = (b) Find an equation for the line tangent to y = f(x) at (−2, −1³). y = x+ (c) Find an equation for the line normal (ie perpendicular) to y = f(x) at (2, ³0). y = x+
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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