Calculus 3'5

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Derivatives of Trig Functions
London Bridge, Lake Havasu City, Arizona
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Source

• http//teach.kingsland.k12.mn.us/web/davis/?page_i
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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.
p
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Proof that derivative of sin(x) cos(x)
Using the definition of the derivative
Formulas needed in proof
sin (ab) sin a cos b cos a sin b