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Introduction
· We have seen Differentiation in C1
· In C2 we will be looking at solving more
types of problem
· We are also going to be applying the
process to worded practical problems…read more

Slide 3

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Differentiation
y
You need to know the
difference between Increasing
and Decreasing Functions This function
is increasing x
for all values
An increasing function is one with a
of x
positive gradient.
A decreasing function is one with a
negative gradient. y
This function
is decreasing x
for all values
of x
9A…read more

Slide 5

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Differentiation
y
You need to know the
difference between Increasing
and Decreasing Functions
x
An increasing function is one with a
positive gradient.
A decreasing function is one with a
negative gradient. This function is
decreasing for x > 0, and
Some functions are increasing in one increasing for x < 0
interval and decreasing in another.
At x = 0, the gradient is
0. This is known as a
stationary point.
9A…read more

Slide 6

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Differentiation
You need to know the Example Question
difference between Increasing
and Decreasing Functions Show that the function ;
An increasing function is one with a
is an increasing function.
positive gradient.
A decreasing function is one with a Differentiate to
negative gradient. get the gradient
function
Some functions are increasing in one
interval and decreasing in another.
Since x2 has to be positive, 3x2 + 24
will be as well
You need to be able to work out
ranges of values where a function is So the gradient will always be
increasing or decreasing.. positive, hence an increasing function
9A…read more

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