PLEASE ONLY HAND WRITTEN ONLY WITH BUE OR BLACK INK PEN ONLY, VERY VERY CLEARLY, REMEBER I JUST WANT THIS HAND WRITTEN, THANK YOU.

18) Let f(x) = [, sin(t=) dt. a) Find the first derivative off . f(x) = Hint: Use the Chain Rule. b) Find the second derivative of f . Show work. f" (x) =19) Use the fact that In(x) = = dt to do this exercise. a) Find - In(x) . b) Find - Ln(3). c) Let g(x) = Ln(x). Find the first derivative of g evaluated at 3. In other words, find '(3). (2x+1) min(x) 20) Lat y = (5x+7) . Use Logarithmic Differentiation to find dy Ax Show all the steps, simplify your answer, and write it in terms of X.21) Find the general antiderivative F(x) for the function fix) = cos (5x);Sin(5x). Show all the steps and give good explanations that justify your work