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Derivatives of Inverse Trig Functions : Now, we will look at the derivatives of the inverse trig functions. To derive the derivatives of inverse trig functions we'll required the formula from the last section associating the derivatives of inverse functions. If f(x) & g(x) are inverse functions then,
g′ ( x ) = 1/ f ′ ( g ( x ))
Recall again as well that two functions are inverses if f ( g ( x )) = x & g (f ( x )) = x .
We'll go through inverse cosine, inverse sine, and inverse tangent in detail here
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First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the
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