Thread: Derivative problem

I am trying to use the quotient rule to solve the following problem.

(x^3-5xsqrtx)/x

I know that:
((f`)(g)-(f)(g`))/g^2 is what I am looking for and this is what I got but it is wrong.

[(3x^2-(5)(1/2sqrtx)(x)-(x^3-5xsqrtx)(1))]/(x^2)

Any help?
Thanks

Originally Posted by juventinoalex

I am trying to use the quotient rule to solve the following problem.

(x^3-5xsqrtx)/x

I know that:
((f`)(g)-(f)(g`))/g^2 is what I am looking for and this is what I got but it is wrong.

[(3x^2-(5)(1/2sqrtx)(x)-(x^3-5xsqrtx)(1))]/(x^2)

Any help?
Thanks

The derivative of is not what you have stated it to be. Note that ....

OK so now I have (3x^2-(5x^(3/2))(x)-(x^3-5xsqrtx)(1))/(x^2) but that is still wrong. Do you have any other suggestions? Thanks

Originally Posted by juventinoalex

OK so now I have (3x^2-(5x^(3/2))(x)-(x^3-5xsqrtx)(1))/(x^2) but that is still wrong. Do you have any other suggestions? Thanks

Yes, differentiate 5x^(3/2).