More with Rules for Differentiation

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Presentation transcript:

More with Rules for Differentiation Mr. Miehl miehlm@tesd.net

Objective To evaluate a derivative at a point. To use the derivative to find the slope of a function. To use the derivative to find the equation of a tangent line.

Evaluating Derivatives Find the value of the derivative of:

Evaluating Derivatives Find the value of the slope of:

Tangent Lines Find an equation of the tangent line to the graph of: Slope of the tangent line

Tangent Lines Equation of the tangent line to f (x) at (3, 2)

Tangent Lines Find an equation of the tangent line to the graph of: Slope of the tangent line

Tangent Lines Equation of the tangent line to f (x) at

Slope of a Function Determine the point(s) at which the graph of has a slope of 1.

Slope of a Function Points with a slope of 1

Conclusion To find an equation of a tangent line: First, find the derivative of the function. Next, plug the corresponding x-value into the derivative, to find the slope. Finally, use the slope and the point to write an equation of the line.