Calculus derivation with radicals

[JerG90]

Homework Statement

Homework Equations

Basic rules- Power, product, and quotient

The Attempt at a Solution

The first step would be to rewrite the equation:

f(x)= x^2/3 + 1/ x^1/2

I'm lost here. I don't know what to do when the variable is in the denominator like that.

Any help would be greatly appreciated.

 

[learningphysics]

Homework Statement

Homework Equations

Basic rules- Power, product, and quotient

The Attempt at a Solution

The first step would be to rewrite the equation:

f(x)= x^2/3 + 1/ x^1/2

I'm lost here. I don't know what to do when the variable is in the denominator like that.

Any help would be greatly appreciated.

You can bring the denominator up, and 1/x^(1/2) becomes x^(-1/2)... or you can use the quotient rule for derivatives.

 

[pardesi]

rememeber $$x^{\frac{-1}{2}}=\frac{1}{x^{\frac{1}{2}}}$$
also recalll the formula for derivative of $$x^{n}$$

 

[Gib Z]

Or as you suggested, for your problem with the second part, just use the quotient rule!