Hello please help me answer these chain rule deravatives ASAP Part 3Part IIf f(x) = (x² + 5x+8)³, then f'(x) =f'(4) =part zIf f(x) = (4x + 7)¯², then f'(x) = [f'(5)Use the chain rule to find the derivative of f(x) = 2e-7x³-9x³f'(x)

Concept used:Chain rule of differentiation:The derivative of the function f(g(x)) is given by:…

Answered: Part 3 Part I If f(x) = (x² + 5x+8)³,…

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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Resuelva mediante la inversa excel x₁ + 2x2 − 3x3 = 9 2x₁ - x₂ + x3 = 0 4x1 x2 + x3 4 x1: x2: x3: -
A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing Medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. a) Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and present…
A serious side effect of allergy medicines is that they cause drowsiness, which can cause many problems for the individuals taking them. In recent years, a new non-drowsy allergy medicine has been developed. The company that created the medicine claims to be the first, once-a-day, non-drowsy allergy medicine (call it Medicine A). An independent research group wanted to check on this claim by comparing medicine A with another allergy medicine not advertised as non-drowsy (call it Medicine B). A random sample of 3,193 allergy sufferers was selected and each individual was randomly assigned to take either Medicine A or Medicine B. From the Medicine A group, 114 of 1,604 reported drowsiness and from the Medicine B group, 155 of 1,589 reported drowsiness. Calculate and label the two sample proportions separately. Next, calculate the difference between these sample proportions by subtracting (Medicine A – Medicine B). Complete these calculations by hand, label each of them, and…
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A marketing firm wishes to test the effectiveness of the audio/visual presentation of certain information as opposed to the purely audio presentation of the information. To this end 100 volunteers were given a 10 minute presentation in which the information was presented in an audio/visual format. A second group of 100 volunteers was presented the same information in a purely audio format. Each person in each of the two groups was asked the same 20 questions related to the information in the presentation. The audio/visual group had an average of 10.5 correct responses with a sample standard deviation of 4. The purely audio group had an average of 9.4 correct responses with a standard deviation of 3. The marketing firm believes this means that the audio/visual format leads to better retention of the information. We test the hypotheses H0: 1 -2=0 versus Ha: 1 -2>0 at a 2% level of significance. Here denotes 1 the population average number of correct responses for…
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Part 3 Part I If f(x) = (x² + 5x+8)³, then f'(x) = f'(4) = part z If f(x) = (4x + 7)¯², then f'(x) = [ f'(5) Use the chain rule to find the derivative of f(x) = 2e -7x³-9x³ f'(x)