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Learn how to find derivatives of trigonometric functions and graph the resulting curves. Includes examples and step-by-step explanations.
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Photo by Vickie Kelly, 2001 Greg Kelly, Hanford High School, Richland, Washington 3.5 Derivatives of Trig Functions London Bridge, Lake Havasu City, Arizona
slope Consider the function We could make a graph of the slope: Now we connect the dots! The resulting curve is a cosine curve.
slope We can do the same thing for The resulting curve is a sine curve that has been reflected about the x-axis.
We can find the derivative of tangent x by using the quotient rule.
Derivatives of the remaining trig functions can be determined the same way. p