Help Contact For teachers and institutes

Mock Tests Classes

StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

Physics
Chemistry
Mathematics
Biology
Python Programming
Statistics & Data Science
Classes
Groups

Practice

Problems
Quizzes
Mock Tests
Prepare for an Exam
Question Sets
Exams
Certificates
Python Labs
AI Practice Generator
Student-Created Tests

Community

Discussions
Resources
Notes
Blog

Account

Log in

© 2026 senLearn. All rights reserved.Help About Contact Privacy Policy Terms of Use Refund Policy

Use a differential, starting from √[3]64 = 4, to… | StemPy Lab

Quizzes
Use a differential, starting from √[3]64 = 4, to estimate √[3]65.5.

MathematicsMediumHigh School (11–12)Functions and Calculus › Application of Derivatives A-Level AEEE (Amrita)AMUEEE AP AP EAPCET BCECE COMEDK UGET GUJCET IB JCECE JKCET KCET KEAM KIITEE LPUNEST MET (Manipal)MHT-CET OJEE SRMJEEE TS EAPCET UPESEAT VITEEE

Created by StemPy Lab

Use a differential, starting from $\sqrt[3]{64} = 4$ , to estimate $\sqrt[3]{65.5}$ .

← All Quizzes

← For y = x³, the value of x changes from 3 to 3.04. Use a differential to estimate the change in y.The edge of a cube is measured with an error of 1.4%. What is the percentage error in the total surface area calculated from it? →

More onFunctions and Calculus › Application of Derivatives

Discussion (0)

Log in to join the discussion.

Loading…

More questions on this topic

A wire of length 28 cm is cut into two pieces. One piece is bent into a square and the other into…Hard
A closed cylindrical tin must hold 54π cm³. The metal used is least when the height of the tin is…Hard
A function has the derivative f'(x) = (x - 1)²(x + 2)(x - 4). At which values of x does f have a…Medium
For x > 0, what is the least value of f(x) = 3x + 12/x?Medium
A gardener has 36 m of edging. She lays a rectangular bed in the corner where two garden walls…Medium

All questions on this topic →

Problems on this topic

A walking path in a nature reserve follows the curve y = x² on a map, with x and y in kilometres…Hard
A farmer in Devon wants a rectangular pen of area 800 m² against the straight wall of a barn…Medium
A food company in São Paulo packs one litre of olive oil, which is 1000 cm³, in closed cylindrical…Hard
A tinsmith in Nairobi has a rectangular sheet of metal, 24 cm by 15 cm…Medium

All problems on this topic →