please explain !

1.Find the derivative of the logarithmic function.

h(x) = ln(2x²+1)

2.Find the derivative of the function.

y= cos(a³+x³)

3.Find the derivative of the function.

h(x) =x²arctan(4x)

4.Finddy/dxby implicit differentiation.

1. 7e^xy+2x²2y²=5

5.Use logarithmic differentiation to finddy/dx.

y=x^6/x,x> 0

6.Find the critical numbers of the function. (Enter your answers as a comma-separated list.)

g(t) =7tlnt