BACAL Flashcards

1
Q

is a line that touches a curve at a point, matching the curve’s
slope there.

A

Tangent

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2
Q

If the slope of the tangent line is
positive, the function is _______ at the point.

A

increasing

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3
Q

If the slope of the tangent line is
_________, the function is increasing at the point and

A

positive

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4
Q

if the slope is __________,
the function is decreasing at the point of tangency.

A

negative

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5
Q

if the slope is negative,
the function is ________ at the point of tangency.

A

decreasing

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6
Q

It is the instantaneous rate
of change of a function at a given point.

A

derivative

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7
Q

The __________ of a function at a given value is the slope of the
line tangent to the function at that value.

A

derivative

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8
Q

f’(x) = lim (f(x+h)-f(x)/h)
h->0

h is the change in x and
f(x+h)-f(x) is the change in y

A

Definition of the Derivative

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9
Q

The rate of change at any point on a function?

A

Slope of the Tangent

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