Differentiation Flashcards

1
Q

What is the limit definitio of the derivative?

A

f’(x) = lim ((h -> 0) f (x +h) - f (x)) / h

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2
Q

How do you get dy/dx?

A

multiply by the power and then -1 from the power

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3
Q

How to find the gradient?

A

find dy/dx then substitute in x

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4
Q

What is the gradeint of the normal?

A

-1 / the gradient of the tangent

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5
Q

What is another phrase for the gradient?

A

The rate of change

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6
Q

What is a stationary point?

A

Anywhere where the gradient = 0

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7
Q

What does it mean if f’(x) < or = 0?

A

The function is decreasing

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8
Q

What is the gradient of the tangent?

A

It is the same as the gradient of the curve

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