The curve C has equation 2yx^2 + 2x + 4y - cos(πy) = 45. Using implicit differentiation, find dy/dx in terms of x and y

2x2y + 2x + 4y - cos(πy) = 45Applying implicit differentiation:4xy + 2x2(dy/dx) + 2 + 4(dy/dx) + πsin(πy)(dy/dx) = 0Moving all (dy/dx) terms to one side:2x2 (dy/dx) + 4(dy/dx) + πsin(πy)(dy/dx) = -4xy - 2Factorising:dy/dx [ 2x2 + 4 +πsin(πy) ] = -(4xy + 2)Making (dy/dx) the subject of the equation:dy/dx = -(4xy + 2) / 2x2 + 4 +πsin(πy)

Answered by Prahlad M. Maths tutor

5246 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate y = 2xln(x)


Prove that 1+2+...+n = n(n+1)/2 for all integers n>0. (Hint: Use induction.)


How do I calculate the reactant forces for the supports of the beam where the centre of mass is not same distance from each support?


Using implicit differentiation, write the expression "3y^2 = 4x^3 + x" in terms of "dy/dx"


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences