Differentiate sin(x)*x^2

Notice that (sin(x))'= cos(x) and (x^2)' = 2x

We use the product rule to differentiate, by noticing the expression is a product. 

so (fxgx)' = f'xgx + fx*g'x

substituting in we get (sin(x)*x^2) = cos(x)*x^2 + sin(x)*2x

DG

Related Maths A Level answers

All answers ▸

How many ways are there to arrange n distinct objects in a CIRCLE?


Integrate x*sin(x) with respect to x.


How do I calculate where a function is increasing/decreasing?


When and how do I use the product rule for differentiation?