Calculus 3.8

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3.8 Derivatives of Inverse Trig Functions
Lewis and Clark Caverns, Montana
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At x 2
We can find the inverse function as follows
To find the derivative of the inverse function
Switch x and y.
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At x 2
At x 4
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Because x and y are reversed to find the
reciprocal function, the following pattern always
holds
is equal to the reciprocal of
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A typical problem using this formula might look
like this
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We can use implicit differentiation to find
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We can use implicit differentiation to find
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Your calculator contains all six inverse trig
functions. However it is occasionally still
useful to know the following
p