Question

How do you differentiate `f(x)= e^x/(x-7 )` using the quotient rule?

Answer 1

`f'(x)=((x-6)e^x)/(x-7)^2`

Explanation:

Quotient rule states that

`d/dx[f(x)/g(x)]=(g(x)*f'(x)-f(x)*g'(x))/[g(x)]^2`.

Application to the given examples yields

`f'(x)=((x-7)e^x+e^x)/(x-7)^2`