Solution Found!
Sketch the graph of a function that has a local maximum
Chapter 7, Problem 7E(choose chapter or problem)
Sketch the graph of a function f that has a local maximum value at a point c where f'(c) = 0.
Questions & Answers
QUESTION:
Sketch the graph of a function f that has a local maximum value at a point c where f'(c) = 0.
ANSWER:STEP_BY_STEP SOLUTION Step-1 be defined on the interval [a,b] , and x be0the interior point on [a,b]. A function f has a local maximum or relative maximum at a point x if the values 0 f(x) of f for x ‘near’ x a0e all less than f(x ). 0 That is , f(x) f(x 0Let f Thus, the graph of f nea r x has a peak at x . 0 0 A function f has a local minimum or relative minimum at a point x if th0 values f(x) of f for x ‘near’ x a0 re all greater than f(0 ) . That is f(x) f(x ). 0 Thus, the graph of f near x h0s a trough at x . (T0 make