Question

How do you differentiate `r(x)=(e^(41x^2))^3`?

Answer 1

`r'(x) = 246xe^(123x^2)`

Explanation:

We have `r = (e^(41x^2))^3`
`:. r = e^(123x^2)`
`:. (dr)/dx = (123)e^(123x^2)(2x)`
`:. (dr)/dx = 246xe^(123x^2)`