The curve C is paramterised by the equations: x = 5t + 3 ; y = 2 / t ; t > 0 Find y in terms of x and hence find dy/dx

x = 5t + 3 -> x - 3 = 5t -> (x - 3) / 5 = t
y = 2 / t -> y = 2 / ((x - 3) / 5) -> y = 10 / (x - 3) dy/dx = d/dx (10 / (x - 3)) -> dy/dx= -10 (x - 3)-2

DC
Answered by Dylan C. Maths tutor

3510 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find dy/dx when x+2y+3y^2= 2x^2+1


integral of xe^-x dx


y = x^3 ln x. Find dy/dx


Differentiate f(x)=(x+sin(2x))^4


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