Bell-ringer 11/2/09

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Bell-ringer 11/2/09

• Suppose that functions f and g and their
  derivatives with respect to x have the following
  values at x0 and x1.
• Evaluate the derivative of f(g(x)) at x0
• Evaluate the derivative of g(f(x)) at x0
• Evaluate the derivative of f(xg(x)) at x0

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3.5 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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