All AP Calculus AB Resources
Example Questions
Example Question #31 : Slope Of A Curve At A Point
Example Question #151 : Ap Calculus Ab
Example Question #142 : Derivatives
Example Question #51 : Derivative At A Point
Example Question #33 : Slope Of A Curve At A Point
Example Question #151 : Ap Calculus Ab
Example Question #151 : Derivatives
Find the slope of the tangent line to the following function at x=3:
The slope of the tangent line to a curve is given by the first derivative evaluated at the point of interest.
The first derivative of the function is equal to
and was found using the following rules:
To find the slope of the tangent line at x=3, we simply evaluate the first derivative function at x=3:
Example Question #152 : Ap Calculus Ab
Find the slope of the curve at the point
To find the slope of the curve at any point, we take its derivative
We then evaluate ate the point ,
Example Question #153 : Ap Calculus Ab
Find k'(1) if .
First, find the derivative. You should get .
Next, plug in x=1.
You should get .
Example Question #154 : Ap Calculus Ab
Find the slope of the curve at the specified point:
at the point
To find the slope of the curve, we take the derivative of the function:
Evaluating the slope at the specified point, we get
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