Differentiate (3x)e^(3x)
3e^3x + (9x)e^3x This is a good question because it involves the use of both the chain and product rules of differentiation, as well as the differential of e (all of which occur frequently in Maths A-level and in late Physics A-level). On another note, a commonly asked question by A-level students is 'why is this useful', this can be provided with a satisfactory answer in this case as Euler's number occurs so frequently in the universe and working with it is so common place.
JH
Related Maths A Level answers
All answers ▸How do I find the integral ∫(ln(x))^2dx ?
A curve is defined for x > 0. The gradient of the curve at the point (x,y) is given by dy/dx = x^(3/2)-2x. Show that this curve has a minimum point and find it.
How would you integrate (4x+1)^1/3 ?
Find values of x for which 2x^2 < 5x + 12