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Find the derivative of the function. +

Find the derivative of the function. +

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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Operations Find the derivative of the function. Functions h(t) = t6 Symbols Relations h'(t) = Sets +
Transcribed Image Text:Operations Find the derivative of the function. Functions h(t) = t6 Symbols Relations h'(t) = Sets +
Calculus: Early Transcendentals 8th Edition Find the derivative of the function. ISBN: 9781285741550 h(t)* BUY Author: James Stewart MC) = Publisher: Cengage Learning Transcribed Image Text: Find the derivative of the function. t3 h(t) = 6 + g7 = (?),4 Chapter 1: F... Section: Ch... Problem 1RCC Expert Solution E9 Not helpful? See similar books Step 1 • Quotient Rule of differentiation :ddtuv=v.dudt-u.dvdtv2. • dtndt =n.tn-1 • Chain Rule of differentiation : (fgx)' =f'(g(x)).g'(x). Stuck on your homework? Step 2 Ask a question and get an expertly curated answer, in as fast as 30 minutes.* Consider the given function (1)Differentiate (1) with respect to 't', we have h(t) = t3t6+92 h'(t) =ddtt3t6+92 = 2.t3t6+9.ddtt3t6+9 = 2t3t6 +9t 6+9.dt3dt- ASK AN EXPERT By Quotient Rule of differentiation As dtndt=n.tn- t3dt6+9dtt6+92 = 2t3t6+9t6+93t2-t36t5t6+92 1 = 2t3t6+93t8+27t2-6t8t6+92 = 2t3- 16 of 30 questions left this cycle 318+27t2t6+93 =-6t11+54t5t6+93 =-6t5t6-9t6+93Hence, h'(t)= -6t5(t6-9)(t6+9)3 Renews on Mar 25, 2022 5:30 PM 3/18/2022 > !!
Transcribed Image Text:Calculus: Early Transcendentals 8th Edition Find the derivative of the function. ISBN: 9781285741550 h(t)* BUY Author: James Stewart MC) = Publisher: Cengage Learning Transcribed Image Text: Find the derivative of the function. t3 h(t) = 6 + g7 = (?),4 Chapter 1: F... Section: Ch... Problem 1RCC Expert Solution E9 Not helpful? See similar books Step 1 • Quotient Rule of differentiation :ddtuv=v.dudt-u.dvdtv2. • dtndt =n.tn-1 • Chain Rule of differentiation : (fgx)' =f'(g(x)).g'(x). Stuck on your homework? Step 2 Ask a question and get an expertly curated answer, in as fast as 30 minutes.* Consider the given function (1)Differentiate (1) with respect to 't', we have h(t) = t3t6+92 h'(t) =ddtt3t6+92 = 2.t3t6+9.ddtt3t6+9 = 2t3t6 +9t 6+9.dt3dt- ASK AN EXPERT By Quotient Rule of differentiation As dtndt=n.tn- t3dt6+9dtt6+92 = 2t3t6+9t6+93t2-t36t5t6+92 1 = 2t3t6+93t8+27t2-6t8t6+92 = 2t3- 16 of 30 questions left this cycle 318+27t2t6+93 =-6t11+54t5t6+93 =-6t5t6-9t6+93Hence, h'(t)= -6t5(t6-9)(t6+9)3 Renews on Mar 25, 2022 5:30 PM 3/18/2022 > !!
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