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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
Determine if the subsequent series is convergent or divergent. Solution As the cosine term in the denominator doesn't get too large we can suppose that the series term
Show that the product of 3 consecutive positive integers is divisible by 6. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1
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Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work. In the denominator
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