Please show all work.

1.Find the derivative of the function.

f(t) = (1 +sqrt (t)) (8t²7)

2.Find the derivative of the function

g(x)= ((3)/(3x+8))+8x^2

3.Find the derivative of the function

f(t)=(1-3t)/(1+9t)

4.Find the derivative of the function

f(x)= ((x)/(sqrt x)+3)

5.Find the point(s) on the graph offwhere the tangent line is horizontal. (If an answer does not exist, enter DNE.)

f(x) = (x²+7)(5x)

smaller x-value =?

Larger x-value=?