Chapter 4.4, Problem 62E

4 2+x (Use decimal notation. Give your answer to three decimal places.) Estimate the slope of the tangent line of the function y(x) slope of the tangent line = = at x = 1.

Find ?(?) if ?(0) = 4 and the slope of the tangent line is 4?3 + 2?.

Let f(x) = 2x3 – 3x2 41x + 4. (a) Find the points on the graph of f at which the slope of the tangent line is equal to -5. (If an answer does not exist, enter DNE.) smaller x-value (х, у) %3D larger x-value (х, у) %3D (b) Find the equation(s) of the tangent line(s) of part (a). (Let x be the independent variable and y be the dependent variable. If an answer does not exist, enter DNE.) smaller x-value y = larger x-value y =