Differentiate y=ln(2x^2) with respect to x

Making a substitution for u = 2x^2 Now y = ln(u) dy/dx = du/dx * dy/du du/dx = 4x dy/du = 1/u dy/dx = 4x/u Then substitute 2x^2 back in as u The final answer is 4x/(2x^2) Which can be simplified by dividing through by 2 and x to get 2/x

Answered by Catherine G. Maths tutor

4551 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the simultaneous equation x+y=11(1), x^2+y^2=61 (2)


(a) Express x +4x+7 in the form (x+ p) +q , where p and q are integers.


An object of mass 2kg is placed on a smooth plane which is inclined at an angle of 30 degrees from the ground. Calculate the acceleration of the object.


Integrate (3x^2-x^3)dx


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences