Derivative of h(x)=sqr(x) * (x^3+2x^2)..product rule

Question

Hi, I keep getting wrong because Im not sure how to solve when it involves a radical. 

 

h(x)=(√x)* (x³+2x²)

 

The only radical is the x and its being multiplied by the bracket. 

Answer 1

Change the radical term to a rational exponent.

 

h(x) = x^1/2(x³ + 2x²)

 

 

Now you can use product rule.  However, you can distribute the x^1/2 to get rid of the parentheses and derive using power rule.