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

4225 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate f(x) with respect to x. Find the stationary value and state if it is a maxima, minima or point of inflection f(x) = 6x^3 + 2x^2 + 1


Express 2/P(P-2) in Partial Fractions (C4)


Find the second derivate d^2y/dx^2 when y = x^6 + sqrt(x).


Differentiate with respect to x, x^2*e^(tan(x))


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