Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 2001 London Bridge, Lake Havasu City, Arizona 3.4 Derivatives of Trig Functions.

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Presentation transcript:

Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 2001 London Bridge, Lake Havasu City, Arizona 3.4 Derivatives of Trig Functions

Consider the function We could make a graph of the slope: slope Now we connect the dots! The resulting curve is a cosine curve.

We can do the same thing for slope 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. 

Process to find the derivative of functions that involve trig Functions 1.Simplify expression using Trig identities (if possible) 2.Use the Product, Quotient, or Reciprocal rule along with the derivatives of the trig functions.

Example