Given that y= 1/ (6x-3)^0.5 find the value of dy/dx at (2;1/3)

Let u=6x-3 , then y=u^-0.5hence, du/dx=6 and dy/du= -0.5u^-3/2then, as dy/dx =dy/du * du/dx dy/dx=(-0.5u^-3/2 )*6= -3(6x-3)^-3/2substitute x=2 to give the required value required value : -1/9

PN
Answered by Polina N. Maths tutor

3967 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

If f(x)= ( ((x^2) +4)(x-3))/2x find f'(x)


Integrate | x^7 (ln x)^2 dx ( | used in place of sigma throughout question)


Given that the binomial expansion of (1+kx)^n begins 1+8x+16x^2+... a) find k and n b) for what x is this expansion valid?


What is a derivative and how do we calculate it from first principles?


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