Differentiate x^2 ln(3x) with respect to x

This question requires the use of differentiation by product rule. First differentiate the first term, whilst keeping the second term the same, i.e. we get 2xln(3x). Secondly we keep the first term the same, and differentiate the second term, meaning it becomes x2(1/x), and thus our overall answer would be adding both of the things we got up (as that's the product rule). Thus the answer would be 2xln(3x) + x.

RF

Related Maths A Level answers

All answers ▸

Differentiate y=x*ln(x^3-5)


How do I find the inverse of a 2x2 matrix?


I struggle with modelling with differential equation, is there an easier way of interpreting this type of wordy question?


The curve C has equation y = f(x) where f(x) = (4x + 1) / (x - 2) and x>2. Given that P is a point on C such that f'(x) = -1.