Question

How do you find the derivative of `f(x)= (e^(x)-6)/(3x)`?

Answer 1

`d/dx ((e^x-6)/(3x)) = ( e^x(x-1) +6) /(3x^2)`

Explanation:

Using the quotient rule:

`d/dx ((e^x-6)/(3x)) = (3x d/dx(e^x-6) - (e^x-6) d/dx (3x))/(3x)^2`

`d/dx ((e^x-6)/(3x)) = (3x e^x - 3(e^x-6) )/(9x^2)`

`d/dx ((e^x-6)/(3x)) = ( e^x(x-1) +6) /(3x^2)`