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 ▸How to perform integration by substitution. (e.g. Find the integral of (2x)/((4+(3(x^2)))^2)) (10 marks)
When calculating a question with a double integral question between two different ranges which range relates to which integration variable.
Differentiate 3x^(2)+xy+y^(2)=12 with respect to x
Use integration by parts to find the integral of sin(x)*exp(x)