Mod3ProblemSet

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School

Southern New Hampshire University *

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Course

225

Subject

Mathematics

Date

Jan 9, 2024

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pdf

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5

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11/6/23, 10:30 PM Southern New Hampshire University - Assignment Worksheet Online Homework System 11/6/23 - 10:30:27 PM EST MAT-225-X2592 Calc I: Single-Variable Calc 23EW2 Name: Class: : MAT-225 : 1421274 Class #: Section #: Instructor: John Latvis Assignment: 3-3 Module Three Problem Set Assignment Instructions: : g Looking for additional support working through this snhu problem or material? Check out SNHU's Academic Support resources available in the Academic Support module in ACADEMIC SUPPORT Brightspace! Question 1: (2 points) . - 5 6 Find the derivative of f (z) = (4:1: 5:1:) : flley= Question 2: (3 points) 7 Eos Enclose numerators and denominators in parentheses. For example, (a b)/ (1 + n). Include a multiplication sign between symbols. For example, a- . Find the derivative of f (w) = fllwy=____ Question 3: (3 points) Find the equation of the tangent line to the graph of the function f (z) = 4/ 6z% + 10 at the point (1,4). y: https://snhu-mat225.mobius.cloud/modules/unproctoredTest.Print 1/5
11/6/23, 10:30 PM Southern New Hampshire University - Question 4: (8 points) 15 \5/ 2z+9 Find the derivative of f(:z:) = Enclose numerators and denominators in parentheses. For example, (a b)/ (1 + n). Include a multiplication sign between symbols. For example, a-m. flley=__ Show your work and explain, in your own words, how you arrived at your answer. Question 5: (3 points) 9 Find the derivative of f (z) = \8/<8$4 + 22 1) : flflay= Question 6: (3 points) Find the derivative of f (z) = (z 5)4/10z3 + 1. Enclose numerators and denominators in parentheses. For example, (a b) / (1 + n) Include a multiplication sign between symbols. For example, a-T. To enter ,/a, type sqrt(a). fllay= https://snhu-mat225.mobius.cloud/modules/unproctoredTest.Print 2/5
11/6/23, 10:30 PM Southern New Hampshire University - Question 7: (2 points) Find the derivative of f(z) = —6tan (z). Enclose arguments of functions in parentheses. For example, sin (2z). fllay=___ Question 8: (3 points) Find the derivative of f (y) = 7tan (y) % % y*/y Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2z) or (a b)/ (1 + n). fly) = Question 9: (8 points) Find the equation of the tangent line to the graph of the function f (z) = sin (7,/z) at the point (7r2, 0). Enclose numerators and denominators in parentheses. For example, (a, b) / (1 + n) Include a multiplication sign between symbols. For example, a-T. y = Show your work and explain, in your own words, how you arrived at your answer. Question 10: (2 points) Find the derivative of f (z) = Te®. flley= https://snhu-mat225.mobius.cloud/modules/unproctoredTest.Print 3/5
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