Find the derivative of the function

Question

Solve the below:

Q1: Find the derivative of the function.
f(x) = (1 - e^-2x)⁸

Q2: Find the derivative of the function.
f(x)= 9ln(x)/x⁸

Q3: Find the derivative of the function.
f(x)=6(ln(x))^3/2

Q4: Find an equation of the tangent line to the graph of y = e^-x2 at the point (3, 1/e9).

Q5: Find an equation of the tangent line to the graph of f(x) = e^x/2 ln(x) at its inflection point. (Hint: Show that (1,0) is the only inflection point of f.)