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 ▸

Find the binomial expansion of (-8+4x)^(2/3) up to and including the term in x^2.


What are the conditions for an event to be modeled with the binomial distribution?


How do you find the integral of 'x sin(2x) dx'?


What is integration?