A curve has the equation: x^3 - x - y^3 - 20 = 0. Find dy/dx in terms of x and y.

x3 - x - y3 - 20 = 0 Find dy/dx. Differentiate with respect to x.
3x2 - 1 - 3y2(dy/dx) = 0Therefore: dy/dx = (3x2 - 1)/3y2

KP
Answered by Karishma P. Maths tutor

3607 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate y=(4x^2-1)^3


Find partial fractions of : (x+7) / ((x-3)(x+1)^2)


If I throw a ball vertically upwards with a velocity of 15 m/s and we assume the gravitational acceleration is 10 m/s^2. Draw the distance-time, and velocity-time graphs, how long is the ball in the air before it returns to the point I threw it from?


Differentiate 3x^(3) + 7x^(2) -4x


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning