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1. Determine the derivatives using shortcuts of each of the following functions. Do NOT simplify a. f(x) = 3x¹ - 2 + √3x - 7 x² b. g(x) = (x - 2) [(3x + 1)² (5x - 1)³7 2. Find the derivative of the function f(x)=√x² +6 from first principles.

1. Determine the derivatives using shortcuts of each of the following functions. Do NOT simplify a. f(x) = 3x¹ - 2 + √3x - 7 x² b. g(x) = (x - 2) [(3x + 1)² (5x - 1)³7 2. Find the derivative of the function f(x)=√x² +6 from first principles.

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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Question
1. Determine the derivatives using shortcuts of each of the following functions. Do NOT simplify 2 a. f(x) = 3x -+√3x - 7 b. g(x) = (x-2)[(3x + 1)² (5x - 1)³¹ 2. Find the derivative of the function f(x)=√x² +6 from first principles.
Transcribed Image Text:1. Determine the derivatives using shortcuts of each of the following functions. Do NOT simplify 2 a. f(x) = 3x -+√3x - 7 b. g(x) = (x-2)[(3x + 1)² (5x - 1)³¹ 2. Find the derivative of the function f(x)=√x² +6 from first principles.
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