Answer Happy

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the points of inflection and discuss the concavity of the graph of the function. x +11 Step 1 Let / be a function whose second derivative exists on an open interval I. If f(x) > 0 for all x in I, then the graph of fis up on 1. Also, if f(x) < 0 for all x in I, then the graph of f is concave down down on 1. If a tangent line exists at a point where concavity changes, this point is called a point of inflection. concave up x + 11 The given function is f(x) The domain of the function is x Step 2 To differentiate the given function with respect to x, perform the division in the original function and write with rational exponents. -1/2 F(x) 1/2 +11x Take the derivative. -1/2 11 -3/2) -3/2 Step 3 11 Now, differentiate the function /(x) = with respect to x. 2x3/2 Then recombine into one rational expression and write with positive exponents. 1²(x) = -1/-x-3/2+ 512 Submit Skip (you cannot come back)