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Maximum and minimum

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Finding Stationary Points

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If dy/dx, gradient of tangent line, is decreasing near the stationary point then the point must be minimum. In other words, if the derivative of dy/dx is decreasing. This means the stationary point is a maximum.
If the second derivative is negative(positive) at a stationary point, the point must be maximum(minimum).

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If dy/dx=0, then max or min.

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Derivative of dy/dx is called the second derivative
Distinguishing maximum points from minimum points

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The derivative provides information about the gradient of a function. And we can use it to locate points on a graph where the gradient is ZERO: stationary point
Concave Up: Local Maximum
Concave Down: Local Minimum

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Where is the peak? And How do we know it?

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Where is the peak? And How do we know it?

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Image from http://static.panoramio.com/photos/large/20268917.jpg

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Locate the position and nature of any turning points of the following function:

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Find stationary points

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f(x)=e^(x^2) cos(50x)
Graph it using GDC
What is the maximum/minimum?

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Real-world Problem: The eight failures that caused the Gulf oil spill

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Real-world Problem: The eight failures that caused the Gulf oil spill

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Eight catastrophic failures led to the explosion that destroyed the Deepwater Horizon drilling rig in the Gulf of Mexico, killing 11 people and leading to one of the biggest oil leaks in history, according to BP’s long-awaited investigation into the accident.

BP accepts its role in the disaster but also points the finger at two of its contractors.

The accident occurred on 20 April as the team aboard Deepwater Horizon was preparing to temporarily abandon a well it had drilled some 70 kilometres from the US coast.

The day before the accident, the crew had pumped cement to the bottom of the borehole, a standard procedure intended to prevent oil leaking out. On the day of the accident, the team were conducting checks to determine that that the well had been properly sealed.

Pressure test misinterpreted

The crew carried out various pressure tests to determine whether the well was sealed or not. The results of these tests were misinterpreted, so they thought the well was under control.
https://www.newscientist.com/article/dn19425-the-eight-failures-that-caused-the-gulf-oil-spill/

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Make sure to acknowledge sources of information correctly and properly.

http://www.citefast.com/

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Inquirers, Knowledgeable, Thinkers, Communicators, Principled, Open-minded, Caring, Risk-takers, Balanced, and Reflective

http://www.ibo.org/globalassets/digital-tookit/flyers-and-artworks/learner-profile-en.pdf

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a. Thinking Skills

b. Communications Skills

c. Social Skills

d. Self-management Skills

e. Research Skills

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First, we should be on the same network, TOMLALALA

Copy and paste the address given below to the address of your chosen web browser.  BTW it supports only HTML 5 based browsers.

http://192.168.11.4:8080

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This wall will be archived every day for formative assessment purpose. Your contributions are always welcome.