Derivative of y = 3e^x + (4 / x^(1/3)): Incorrect Answer or Missing Step?

[communitycoll]

Homework Statement

I need to find the derivative of y = (3e^x) + [4 / x^(1 / 3)].

Homework Equations

My book lists the answer as y' = (3e^x) - (4 / 3)x^-(4 / 3).

Is the book incorrect, or is there something more I can do to the problem to get the book's correct answer? Please tell me exactly what it is they do to get the aforementioned answer.

^ see my answer below.

The Attempt at a Solution

I found y' = [(9e^x)(x^(3 / 4)) - 4] / [3x^(3 / 4)]. The same way it's been found here:
http://www.wolframalpha.com/input/?i=derivative+y+=+3e^x+++(4+/+x^(1+/+3))

 

[LCKurtz]

Homework Statement

I need to find the derivative of y = (3e^x) + [4 / x^(1 / 3)].

Homework Equations

My book lists the answer as y' = (3e^x) - (4 / 3)x^-(4 / 3).

Is the book incorrect, or is there something more I can do to the problem to get the book's correct answer? Please tell me exactly what it is they do to get the aforementioned answer.

]

It might help you to simplify the original problem to this before you differentiate$$
y = 3e^x +4 x^{-\frac 1 3}$$

 

[communitycoll]

Thanks. I understand now.