Derivatives of Trig Functions

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3.4 Derivatives of Trig Functions
London Bridge, Lake Havasu City, Arizona
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Consider the function
We could make a graph of the slope
Now we connect the dots!
The resulting curve is a cosine curve.
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We can do the same thing for
The resulting curve is a sine curve that has been
reflected about the x-axis.
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We can find the derivative of tangent x by using
the quotient rule.
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Derivatives of the remaining trig functions can
be determined the same way.
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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.

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Example
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Example