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Trace or copy the graph of the given function $f$(Assume that the axes have equal scales.) Then use the methodof Example 1 to sketch the graph of $f^{\prime}$ below it.

see graph

Calculus 1 / AB

Chapter 2

DERIVATIVES

Section 2

The Derivative as a Function

Derivatives

Differentiation

Applications of the Derivative

Campbell University

Oregon State University

Harvey Mudd College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:00

Trace or copy the graph of…

00:59

00:55

01:04

01:03

01:08

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So the graph we have looks like this. When you look at the graph, the first thing you notice about F Prime Minister and F prime is zero. When X is equal for values, less than X is equal to zero, the slope is positive and as X approaches negative infinity, the slope becomes more and more or less so. For this part, we can draw a graph for the F prime, which would look something like this for values X greater than zero. The slope is negative and as X approaches positive infinity, the graph becomes less steep. So all derivative values will be negative. But the negative values will become or less and less negative as you approach infinity. So the red draft here is the graph off crime affects.

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