Search for: If y=x4−10 and if x changes from 2 to 1.99, than the approximate change in y isIf y=x4−10 and if x changes from 2 to 1.99, than the approximate change in y is Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:Let x=2,x+Δx=1.99. Then, Δx=1.99−2=−0.01.Let dx=Δx=−0.01We have,y=x4−10⇒dydx=4x3⇒dydxx=2=4(2)3=32Now, dy=dydxdx⇒ dy=32(−0.01)=−0.32⇒ Δy=−0.32 approximately [∵Δy≅dy]So, approximate change in y=−0.32.Post navigationPrevious: If the line ax+ by+ c = 0 is a tangent to the curve xy = 9, thenNext: If the parabolas y = x2 + ax + b and y = x ( c – x) touch each other at the point (1, 0), then a+ b + c =Related content JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023 NEET Crash Course – NEET Crash Course 2023 JEE Advanced Crash Course – JEE Advanced Crash Course 2023