Answers>Maths>IB>Article

Differentiate x^3 + y^4 = 34 using implicit differentiation

An implicity function is one that is not expressed in the form y = f(x) such as the equation in the question. Instead of rearranging the equation to make y the subject, the equation can be differentiated using a technique called implicity differentiation. This involves differentiating each term on both sides of the equation. Differentiating x^3 will give 3x^2 and differentiating 34 will give 0. However differentiating y^4 will give (4y^3) X (dy/dx). This is achieved by using the chaing rule whereby d(y^4)/dx = (d(y^4)/dy) X (dy/dx).

OM
Answered by Olavo M. Maths tutor

2200 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

The function f has a local extreme at point (1,4). If f''(x)=3x^2+2x, then find f(0)?


What does differentiation actually mean?


How do radians work? Why can't we just keep working with degrees in school?


If the fourth term in an arithmetic sequence is, u4 = 12.5, the tenth is u10 = 27.5. Find the common difference and the 20th term.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences