Question

How do you differentiate `f(x)=e^x/x` using the quotient rule?

Answer 1

`f'(x)=(e^x(x-1))/x^2`

Explanation:

Given that the quotient rule is already known to you, let's differentiate this.
`f(x)=e^x/x`

So, `\frac{d}{dx}(f(x))=(\frac{d}{dx}(e^x)*x-\frac{d}{dx}(x)*e^x)/x^2`
Differentiating, as we know how to, we end up with what is stated in the answer part.