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A. Directions: Find and evaluate the limit as xa and x→a using one possible theorem that can be applied. Graphing of the function is only applicable to item number 2. 6x²+x-1 x-(-) (4x²-4x-3) 1. lim.

A. Directions: Find and evaluate the limit as xa and x→a using one possible theorem that can be applied. Graphing of the function is only applicable to item number 2. 6x²+x-1 x-(-) (4x²-4x-3) 1. lim.

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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A. Directions: Find and evaluate the limit as x→a and x→a using one possible theorem that can be applied. Graphing of the function is only applicable to item number 2. 1. lim 2. lim lim (V4+x-2) B. Directions: Solve for the derivative of the following problem. 1st Derivative 3. y = (x³ + 3x² + 3x + 1) x²+4x+4 4. y=72721 (x+1) 6x²+x-11 4x² - 4x-3 5. y = sin √x + √sin(tan(x)) √(x³ +12)-² arccsc(x³ +12) 6. y = 7. Use Logarithmic Differentiation 8. 1 (²)* 23 d 12- dx Use Implicit Differentiation (20 points) 7ln (y³) coth(x + y) 2 x3 (x²+35)³ 9. The value of a machine t years after it is purchased is inversely proportional to the cube root of t² + 1. The initial value of the machine is Php 6,543,210. a. Find the rate of depreciation when t=0.5 b. Find the rate of depreciation when t=1.5
Transcribed Image Text:A. Directions: Find and evaluate the limit as x→a and x→a using one possible theorem that can be applied. Graphing of the function is only applicable to item number 2. 1. lim 2. lim lim (V4+x-2) B. Directions: Solve for the derivative of the following problem. 1st Derivative 3. y = (x³ + 3x² + 3x + 1) x²+4x+4 4. y=72721 (x+1) 6x²+x-11 4x² - 4x-3 5. y = sin √x + √sin(tan(x)) √(x³ +12)-² arccsc(x³ +12) 6. y = 7. Use Logarithmic Differentiation 8. 1 (²)* 23 d 12- dx Use Implicit Differentiation (20 points) 7ln (y³) coth(x + y) 2 x3 (x²+35)³ 9. The value of a machine t years after it is purchased is inversely proportional to the cube root of t² + 1. The initial value of the machine is Php 6,543,210. a. Find the rate of depreciation when t=0.5 b. Find the rate of depreciation when t=1.5
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