Students in calculus learn the product rule of differentiation as (f*g)'= f'*g+f*g', but a common mistake is taking the product rule as (f*g)'= f'*g'. Usually that answer is wrong, but there are pairs of functions f and g where the wrong product rule generates the right answer.

If f,g is one of those special pairs and f=xⁿ (n≠0), then what is function g?

g=-----------, where C is a constant.

Posted by K Sengupta on 2022-12-30 08:28:34