For the function f(x) = x + 4x + 4x2, answer the following:h. What are the critical points for f(x)?i. For what x is f(x)

For the function f(x) = x + 4x³ + 4x2, answer the following:h. What are the critical points for f(x)?i. For what x is f(x) increasing?j. For what x is f(x) decreasing?k. Are there any relative maxima/minima? If so, what are the points:l. On what interval(s) is f(x) concave up? (if none, say so)m. On what interval is f(x) concave down? (if none, say so)n. What is the inflection point(s)? (if none, say so)g. What is the equation of the tangent line to f(x) at x = 1?h. Sketch the graph and the tangent line