Differentiate with respect to x: y = ln(x^2+4*x+2).

Let u = x2+4x+2 so y = ln(u).

Then dy/du = 1/u and du/dx = 2x+4.

Using the chain rule we have:

dy/dx = (dy/du)*(du/dx)

= (1/u)*(2x+4)

= (2x+4)/(x2+4x+2).

Answered by Okim L. Maths tutor

4212 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Consider the functions f(x) = −x^3 + 2x^2 + 3x and g(x) = −x^3 + 3x^2 − x + 3. (a) Find df/dx (x) and hence show that f(x) has turning points at when x = 2 /3 ± √ 13/ 3 . [5] (b) Find the points where f(x) and g(x) intersect. [4]


Find all solutions of the equation in the interval [0, 2π]. 5 cos^3 x = 5 cos x


y = (x^3)/3 - 4x^2 + 12x find the stationary points of the curve and determine their nature.


Complete the square for the following equation: 2x^2+6x-3=0


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