BACAL Flashcards
is a line that touches a curve at a point, matching the curve’s
slope there.
Tangent
If the slope of the tangent line is
positive, the function is _______ at the point.
increasing
If the slope of the tangent line is
_________, the function is increasing at the point and
positive
if the slope is __________,
the function is decreasing at the point of tangency.
negative
if the slope is negative,
the function is ________ at the point of tangency.
decreasing
It is the instantaneous rate
of change of a function at a given point.
derivative
The __________ of a function at a given value is the slope of the
line tangent to the function at that value.
derivative
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
Definition of the Derivative
The rate of change at any point on a function?
Slope of the Tangent