Question

how can I get the derivative of x^3 squareroot of x

Answer 1

just to confirm, does it look like this?

Answer 2

how else can you write √x?

*think of exponents

Answer 3

\[x ^{3}.\sqrt{x}=x ^{3}.x^{\frac{ 1 }{ 2 }}=x^{(3+\frac{1}{2})}=x^{\frac{7}{2}}\]
then, from that final form, you can just precede with derivative rule of experiential... have fun then :)