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Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x) = lim h (Your answer above and the next few answers below will involve the variables and h. We are using h instead of Ax because it is easier to type) We can cancel the common factor h from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) = 16x+1

Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x) = lim h (Your answer above and the next few answers below will involve the variables and h. We are using h instead of Ax because it is easier to type) We can cancel the common factor h from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) = 16x+1

Calculus: Early Transcendentals
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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point) Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x) = lim h (Your answer above and the next few answers below will involve the variables x and h. We are using h instead of Ax because it is easier to type) We can cancel the common factor h from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 106 times. Your overall recorded score is 80%. You have unlimited attempts remaining. = 16x+1 lyi H
Transcribed Image Text:point) Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x) = lim h (Your answer above and the next few answers below will involve the variables x and h. We are using h instead of Ax because it is easier to type) We can cancel the common factor h from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 106 times. Your overall recorded score is 80%. You have unlimited attempts remaining. = 16x+1 lyi H
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