Finding an Equation of a Tangent Line In Exercises 67-74, (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results.
To calculate: The equation of a tangent line to the graph of the function at .
The function at .
If and are positive numbers and is rational, then the following properties hold true,
(1) (2) (3) (4)
Derivative of natural logarithmic functions,
Let be a differentiable function of .
The tangent line is given by .
Consider the function at
To find the equation of tangent line for the function at ,
(1) The tangent line is given by
To graph: The function, and its tangent line at the point , with the help of graphing utility.
To graph: Use the tangent feature of the graphing utility for the function at point to confirm the results obtained in part (a) and (b).
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