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Find the simplified difference quotient for each function listed. 46. f(x) — тх + b 47. f(x) = ax? + bx + c 48. f(x) = ax³ + bx² 49. f(x) = x* 50. f(x) = x3 51. fx) — ах5 + bxt 52. f(x) 53. f(x) 54. Below are the steps in the simplification of the difference quotient for f(x) = Vx (see Example 8). Provide a brief justification for each step. f(x + h) – f(x) Vx + h – Vx h Vx + h - Vx (Vx + h + Vx Vx +h + Vx. x + h + VxVx + h - VxVx + h – x h(Vx + h + Vx) b) x + h - x c) h(Vx + h + Vx) h d) h(Vx + h + Vx) 1 Vx + h + Vx

Find the simplified difference quotient for each function listed. 46. f(x) — тх + b 47. f(x) = ax? + bx + c 48. f(x) = ax³ + bx² 49. f(x) = x* 50. f(x) = x3 51. fx) — ах5 + bxt 52. f(x) 53. f(x) 54. Below are the steps in the simplification of the difference quotient for f(x) = Vx (see Example 8). Provide a brief justification for each step. f(x + h) – f(x) Vx + h – Vx h Vx + h - Vx (Vx + h + Vx Vx +h + Vx. x + h + VxVx + h - VxVx + h – x h(Vx + h + Vx) b) x + h - x c) h(Vx + h + Vx) h d) h(Vx + h + Vx) 1 Vx + h + Vx

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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Find the simplified difference quotient for each function listed. 46. f(x) — тх + b 47. f(x) = ax? + bx + c 48. f(x) = ax³ + bx² 49. f(x) = x* 50. f(x) = x3 51. fx) — ах5 + bxt 52. f(x) 53. f(x) 54. Below are the steps in the simplification of the difference quotient for f(x) = Vx (see Example 8). Provide a brief justification for each step. f(x + h) – f(x) Vx + h – Vx h Vx + h - Vx (Vx + h + Vx Vx +h + Vx. x + h + VxVx + h - VxVx + h – x h(Vx + h + Vx) b) x + h - x c) h(Vx + h + Vx) h d) h(Vx + h + Vx) 1 Vx + h + Vx
Transcribed Image Text:Find the simplified difference quotient for each function listed. 46. f(x) — тх + b 47. f(x) = ax? + bx + c 48. f(x) = ax³ + bx² 49. f(x) = x* 50. f(x) = x3 51. fx) — ах5 + bxt 52. f(x) 53. f(x) 54. Below are the steps in the simplification of the difference quotient for f(x) = Vx (see Example 8). Provide a brief justification for each step. f(x + h) – f(x) Vx + h – Vx h Vx + h - Vx (Vx + h + Vx Vx +h + Vx. x + h + VxVx + h - VxVx + h – x h(Vx + h + Vx) b) x + h - x c) h(Vx + h + Vx) h d) h(Vx + h + Vx) 1 Vx + h + Vx
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