Differentiation: Definition and Elementary Application
http://www.maa.org/taxonomy/term/40454/0
enIdentify the Derivative Function
http://www.maa.org/programs/faculty-and-departments/course-communities/identify-the-derivative-function
Differentiating the Arctangent Directly
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/differentiating-the-arctangent-directly
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>The derivative of arctangent is derived directly from the definition of derivative by using some clever inequalities.</em></div></div></div>Descartes Tangent Lines
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/descartes-tangent-lines
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>Given any positive integer \(n\), find polynomial curves that have exactly \(n\) tangent lines which intersect the curve exactly once. </em></div></div></div>Math Bite: Once in a While, Differentiation Is Multiplicative
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/math-bite-once-in-a-while-differentiation-is-multiplicative
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><em>The author finds and discusses functions that obey the "erroneous product rule".</em></div></div></div>The Computation of Derivatives of Trigonometric Functions
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-computation-of-derivatives-of-trigonometric-functions
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>Find the derivative of the arcsine, then the derivative of the sine by using the fundamental theorem of calculus.</i></p>
</div></div></div>A Property Possessed by Every Differentiable Function
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-property-possessed-by-every-differentiable-function
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>If \(f\) is differentiable at \(x\), an interesting relationship exists between the tangent and two secant lines.</i></p>
</div></div></div>The Derivative of \(\sin \theta\)
http://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-derivative-of-sin-theta
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>The author describes a simple way to find the derivative of \(\sin \theta\).</i></p>
</div></div></div>Differentiation: Definition and Elementary Applications (Classroom Capsules and Notes)
http://www.maa.org/programs/faculty-and-departments/course-communities/differentiation-definition-and-elementary-applications-classroom-capsules-and-notes
Calculus Grapher Applet
http://www.maa.org/programs/faculty-and-departments/course-communities/calculus-grapher-applet
Derivatives and Tangent Lines
http://www.maa.org/programs/faculty-and-departments/course-communities/derivatives-and-tangent-lines
Beginning the Year with Local Linearity
http://www.maa.org/programs/faculty-and-departments/course-communities/beginning-the-year-with-local-linearity
Five-in-One Calculus Applet: Mean Value Theorem
http://www.maa.org/programs/faculty-and-departments/course-communities/five-in-one-calculus-applet-mean-value-theorem
Functions and Derivatives
http://www.maa.org/programs/faculty-and-departments/course-communities/functions-and-derivatives
Measuring Slope and Plotting the Derivative
http://www.maa.org/programs/faculty-and-departments/course-communities/measuring-slope-and-plotting-the-derivative
Moving Secant Line
http://www.maa.org/programs/faculty-and-departments/course-communities/moving-secant-line