Differentiation: The shape of curves Flashcards

1
Q

What are convex curves?

A

When d2y/dx2 is greater than 0, it is an increasing function.

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2
Q

What are these two curves called? Convex or concave?

A

Convex

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3
Q

What are concave?

A

When d2y/dx2 is less than 0, it is a decreasing function.

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4
Q

What are these curves? Convex or concave?

A

Concave

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5
Q

What is a stationary point of inflection?

A

d2y/dx2 = 0

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6
Q

When is a stationary point a minimum?

A

d2y/dx2 > 0

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7
Q

When is a stationary point a maximum?

A

d2y/dx2 < 0

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8
Q
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9
Q
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10
Q
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