Please help me answer the following questions !

Compute the derivative of f(x) = 5 In (In (x + 1)): Use logarithmic differentiation to find the derivative of y = x x (assuming x > 0 ): Answer: f (x) Check 8 Check Consider the function Differentiate f(x) = In(ex + 4x 10 f(x) = (sin(4x))* f ( x ) = We want to find the equation of the tangent line to y = f(x) at x = =. First, we calculate f (x). We get: f' (x ) = Using this we find that the equation of the tangent line to y = f(x) at x = = is: Find the following value: 12 sin (sin ( 85x ) = Find the derivative of the following function: Q f(x) = xsin (2x + 1) Let f(x) be a differentiable function such that f(2) = 0 and f'(2) - 3. Consider the function 13 f' ( x ) = tan (f(x)) g (x) = f(x) +3 Then 8' (2) = As 14 g (2) = the equation of the tangent line to the graph of g(x) at the point where x - 2 is