Answer the questions and show work please

Find the equation of the tangent line using the given value of x. Don't use a graphing calculator and show your work. 1) y= x' + 1; 1 2) y = -2x + x+ 1; 0 3) y=-x' +x+1; -2 4) y= - 2 + 2; -2 For numbers 5 and 6, use your graphing calculator to complte the exercises: 5) Given: g(x) = Inx a. graph the function using your graphing 6) Given: h(x) =- calculator and sketch the result b. find g'(x) a. graph the function using your graphing c. find the equation of the tangent line at calculator and sketch the result x =1 b. find h'(x) d. graph the tangent line using your c. find the equation of the tangent line at graphing calcuator and sketch the result X = 6 on your original graph from part a. d. graph the tangent line using your graphing calcuator and sketch the result on your original graph from part a. For each problem, you are given a table containing some values of differentiable functions f(x), g(x) and their derivatives. Use the table data and the rules of differentiation to solve each problem. 7) X f (x) f' ( x) g(x g'( x) Part 1) Given h (x) = f(x) + g(x), find h, '(1) 4 -1 1 1 Part 2) Given h, (x) = f(x) - g(x), find h, '(2) 2 W -1 2 NW 3 2 -1 4 O 4 -1 2 -2