If f has a local maximum value at x = a, what would you expect the graph of f ' to look like near x = a?

The graph of f ' should be above the x-axis, cross the x-axis at x = a, and go below the x-axis as x increases.

The graph of f ' should be below the x-axis, cross the x-axis at x = a, and go above the x-axis as x increases.

The graph of f ' should be positive and increasing as x approaches a.

The graph of f ' should be negative and increasing as x approaches a.

The graph of f ' should be negative and decreasing as x approaches a.

Question

Mathematics

Bryanna Huffman

26 February, 17:18

If f has a local maximum value at x = a, what would you expect the graph of f ' to look like near x = a?

The graph of f ' should be above the x-axis, cross the x-axis at x = a, and go below the x-axis as x increases.

The graph of f ' should be below the x-axis, cross the x-axis at x = a, and go above the x-axis as x increases.

The graph of f ' should be positive and increasing as x approaches a.

The graph of f ' should be negative and increasing as x approaches a.

The graph of f ' should be negative and decreasing as x approaches a.

+1

Answers (1)

Know the Answer?

Jacquelyn Whitaker · Answer 1

Local maximum looks like a downward U

So flip that letter U and you'll be looking at a local max.

The graph of f ' should be positive and increasing as x approaches a.