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

CG

Related Maths A Level answers

All answers ▸

Write cosx - 3sinx in the form Rcos(x + a)


Express Cosx-3Sinx in form Rcos(x+a) and show that cosx-3sinx=4 has no solution MEI OCR June 2016 C4


how can differentiate using the product and chain rule? e.g y=(4x+1)^3(sin2x), find dy/dx.


How do I find the distance between two point in the plane?