1.Differentiate the following function.

g(t) =t^3/2

^2.Differentiate.

f(x) =x³e^x

^3.Differentiate.

R(t) = (t+e^t)(7sqrt {t})

4.Differentiate the following function.

f(t) =1/2t⁶7t⁴+3t

5.Differentiate.

g(x) =5x1/2x+ 1

6.Differentiate the following function.

y=x^1/8