Question

How do you differentiate `f(x)= ( x^2+ x -12)/ (e^x + 3x )` using the quotient rule?

Answer 1

applying the quotient rule,

`f'(x) =( (e^x+3x)(x^2+x−12)' - (x^2+x−12)(e^x+3x)')/(e^x+3x)^2`

`=((e^x+3x)(2x+1) - (x^2+x−12)(e^x+3)) / (e^x+3x)^2`