Differentiate f(x) = 2xlnx.
Use the chain rule: f'(x) = v(du/dx) +u(dv/dx).
Let u = 2x, du/dx = 2, v = lnx, dv/dx = 1/x
Using this information: f'(x) = 2lnx + 2x/x
This simplifies to f'(x) = 2lnx +2.
TV
Related Maths A Level answers
All answers ▸What is De Moivre's theorem?
y=x^2 +4x-12, Find the Range (co-domain) when the domain of x is (1) -6 to 2 inclusive (2) the set of real numbers, R.
How do you go about sketching a curve when all you are given is the equation?
How do I know which method of integration to use?