Differentiate(dx) xy+4y-13

As this is not in the common form and is HomogeneousStudents should be confident to understand what differentiation does.Using the quotient rule as well as implicit differentiation we look at each part of the equation bit by bit.The differentiation of xy:This is a mixture of the chain rule and implicit differentiation.chain rule states : D/dx of ab is a(b(dx)) + b(a(dx))Therefore the differentiation of this is(x)(dy.dx)+y differentiation of 4y-13 :(4)dy/dx this is finished by adding both together finishing the question with the solution:(x)(dy.dx)+y+(4)dy/dx

NM
Answered by Nojus M. Maths tutor

3295 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate xsin(x) with respect to x


If a particle of mass m is launched vertically upwards from the ground with velocity u m/s, how long will it take to return to the ground in terms of m, u and g?


When I integrate by parts how do I know which part of the equation is u and v'?


Using transformation rules and your knowledge of trigonometric functions, draw the graph y=2sin(2x)


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