Question: Sometimes the derivative of a function is known, but not the function. We will see more of this later. For each function f defined in
Sometimes the derivative of a function is known, but not the function. We will see more of this later. For each function f defined in Exercises, find f″(x) , then use a graphing calculator to graph f′ and f″ in the indicated window. Use the graph to do the following.
(a) Give the (approximate) x-values where f has a maximum or minimum.
(b) By considering the sign of f′(x), give the (approximate) intervals where f(x) is increasing and decreasing.
(c) Give the (approximate) x-values of any inflection points.
(d) By considering the sign of f′′(x), give the intervals where f is concave upward or concave downward.
ƒ′(x) = x2 + x ln x ; [0, 1] by [-2, 2]
Step by Step Solution
3.44 Rating (167 Votes )
There are 3 Steps involved in it
Graph f and f in the window 0 1 by 2 3 Xscl 01 Yscl 1 Graph of f Graph of f a The critical number of ... View full answer
Get step-by-step solutions from verified subject matter experts
