Pregunta
(iv) From the graph, estimate the co-ordinates of the local maximum point and the local
minimum point of
, as accurately as possible.
Local maximum point:
Local minimum point:
different function,
, has the following equation:
Find
, the derivative of
(x)
(iv) From the graph, estimate the co-ordinates of the local maximum point and the local |
minimum point of
|
Local maximum point: |
Local minimum point: |
different function,
|
Find
|
|
(x) |
Ask by Medina Lawson. in Ireland
Jan 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
To estimate the local maximum and minimum points of
, analyze the graph to find the highest and lowest points, then note their coordinates. For
, the derivative
is already given as
.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
Extra Insights
The local maximum point, based on a standard graph shape, is typically where the function peaks before descending. For
, let’s estimate this point at coordinates
. The local minimum point occurs in the valley where the function dips before rising again, so you might find it around
. Without the specific graph, let’s say the local maximum could be
and the local minimum around
.
Now, regarding the derivative
, it gives insight into the behavior of the function. To find where the function has its critical points (local max, min), you can set this derivative to zero and solve for
. This helps in identifying potential turning points, so you can plan your next steps and determine the nature of these points with second derivative tests or a sign chart.

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