Given that y= x/(2x+5), find dy/dx

Is it integration or differentiation? Differentiation What rule do we use? Since it's a fraction, use the quotient rule Is the rule in the formula book? Yes Identify what u and v equal too. u = x and v = 2x + 5 Find du/dx and dv/dx. du/dx = 1 and dv/dx = 2 Find dy/dx by using the rule's formula. dy/dx = [(2x+5).1 - x.2] / (2x+5)^2 Simplify. dy/dx = 5/(2x+5)^2

SA
Answered by Salma A. Maths tutor

5269 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Derive double angle formulas from addition formulae


Differentiate 8x^4 + 2x^2 + 10


Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.


Use the addition formulas: sin(x+y)=sin(x)*cos(y)+sin(y)*cos(x), cos(x+y)=cos(x)*cos(y)-sin(x)*sin(y) to derive sin(2x), cos(2x), sin(x)+sin(y).


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