Y1CH12 Differentiation Flashcards

1
Q

First principle

A

in formula booklet

Used to find gradient of the curve of any value of x

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2
Q

How do you know if a function is increasing or decreasing

A

If the gradient is less than or more than 0

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3
Q

What does second order derivative give you

A

The rate of change of gradient

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4
Q

What is a stationary point?

A

When the gradient is zero

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5
Q

How do you know if a stationary point is a local maximum or local minimum

A

Minimum when second order is greater than 0

Maximum when second order is less than 0

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6
Q

How do you know if a stationary point is a point of inflection

A

When gradient values next to the point are the same (both positive or both negative)

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7
Q

If f’‘(x) = 0

A

This is a point of inflection

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