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Apply the Power Rule, combined to the Constant Multiple Rule, the Sum Rule, the Difference Rule, the Product and / or the Quotient Rule to compute the derivative of each of the following functions: a) S(2) = 3z* +5

Apply the Power Rule, combined to the Constant Multiple Rule, the Sum Rule, the Difference Rule, the Product and / or the Quotient Rule to compute the derivative of each of the following functions: a) S(2) = 3z* +5

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 1a
1. From our class discussions, recall that * (z") = nz"-1, and (a") = (a") In a Apply the Power Rule, combined to the Constant Multiple Rule, the Sum Rule, the Difference Rule, the Product and / or the Quotient Rule to compute the derivative of each of the following functions: a) f(x) = 3x* +5 b) S(z) = VE c) S(x) = V2 1 d) f(x) = xe" + 3z – 5 e) 1-4 In z 1+4ln z f(x) = Bring your answer to the simplest possible form. f) f(x) = 3* 2. Now, as discussed in class, the absolute value function is formally defined as x, if x>0 -1, if z<0 f(x) = |2| = a) Sketch the graph of this function. b) What is the only critical point of this function? Explain.
Transcribed Image Text:1. From our class discussions, recall that * (z") = nz"-1, and (a") = (a") In a Apply the Power Rule, combined to the Constant Multiple Rule, the Sum Rule, the Difference Rule, the Product and / or the Quotient Rule to compute the derivative of each of the following functions: a) f(x) = 3x* +5 b) S(z) = VE c) S(x) = V2 1 d) f(x) = xe" + 3z – 5 e) 1-4 In z 1+4ln z f(x) = Bring your answer to the simplest possible form. f) f(x) = 3* 2. Now, as discussed in class, the absolute value function is formally defined as x, if x>0 -1, if z<0 f(x) = |2| = a) Sketch the graph of this function. b) What is the only critical point of this function? Explain.
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