a level maths differentiation product rule question

with this equation to differentiate what would you do first times the bracket by 4 then use product rule?

(edited 3 months ago)

with this equation to differentiate what would you do first expand the bracket and times it all by 8 then use product rule?

(edited 3 months ago)

Reply 2

nerak99

Well. The 4 is a constant and just carries through and so you can call this 4(x^2-2) times e^-2x or you can put the four with the exponential. Ultimately it will make no difference and with the product rule either function can be u in differential (uv) = udv +vdu

Reply 3

nerak99

In other words. You can ignore the four (cross it out if you like)!do the product rule with the rest and then multiply everything by four at the end.

This works because the differential of kf(x) = k times the differential of f(x).