Question

Derivative of square root of 3x using product rule?

Answer 1

Please see below.

Explanation:

I will guess that the intended function is `f(x)=sqrt(3x)`

We can write this as `f(x) = sqrt3 sqrtx`

Observe that `d/dx(sqrtx) = 1/(2sqrtx)`

`f(x) = FS` then `f'(x) = F'S+FS'` (the derivative of the first times the second, plus the first times the derivative of the second.)

`f'(x) = 0 * sqrtx + sqrt3 * 1/(2sqrtx) = sqrt3/(2sqrtx)`