Search for: f(x)=∫0x dt1+t3 and g(x) be the inverse of f(x). Then the value of 4g′′(x)(g(x))2 is __. f(x)=∫0x dt1+t3 and g(x) be the inverse of f(x). Then the value of 4g′′(x)(g(x))2 is __. Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:y=f(x)⇒x=f−1(y)⇒x=g(y)Given y=f(x)=∫0x dt1+t3dydx=11+x3 or dxdy=1+x3g′(y)=1+g3(y)g′′(y)=3g2(y)g′(y)21+g3(y)∴ 2g′′(y)=3g2(y)g′(y)1+g3(y)=3g2(y)1+g3(y)1+g3(y)=3g2(y)or 2g′′(y)=3g2(y) Related content Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had