How do you find the derivative of #(2x^2 +x - 3)/x#?
The quotient rule states that for a function
Here, we have
Applying the quotient rule, we have the derivative equalling
The derivative can be written:
This can clearly be differentiated using the quotient rule, but it is also possible to rewrite the expression before differentiating.
So the derivative is:
This result can be written in other forms: