Question

Differentiate: (x^2 + 4x + 3)/sqrt(x)

Answer 1

quotient rule.

Answer 2

Or, move the denominator to the numerator via \(\sf (x^2+4x+3)(x^{-\frac{1}{2}})\) and use product rule

Answer 3

@steffikthx Take a guess first. You're probably going to get it mostly right and we can then just easily show you how to fix it rather than try to have us explain the whole process you probably already mostly understand.

Answer 4

I was getting an answer like -2x +4/2(sqrt)x^3 blah

Answer 5

@abb0t @kainui Im using the product rule since the question is filed under the product rule segment. however, I'm still getting a wonky answer. My textbook says that this is the answer

Answer 6

They may have simplified the answer. If you continue to simplify the answer to make it look "neater" you'll probably see it's the same. This is a common mistake that calculus students make is that their answer doesn't match the book answer and they think it's wrong.

But I would go as far as you can with simplifying.