Differentiation - are these answers correct?

Question

Could someone help me check if I differentiated these these two functions correctly:

 

f(x)= √(3x²-x³)

 

And

 

h(x) = ³√(5x+x²)²

 

 

I got: f′(x) = 6x-3x²/2·√(3x²-x³)

 

And

 

h′(x) = 10+4x/3·³√(5x+x²)

 

 

Are these two correct? Or am I completely wrong? Thank you for taking the time to help.

 

Answer 1

Hi Jeff,

 

Your answers look correct. Keep up the good work.