What is the derivative of #f(x)=ln(tan(x))# ?
Solution
let's begin with general example, suppose we have
then, Using Chain Rule,
Similarly following the given problem,
for simplifying further, we multiply and divide by 2,
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The derivative of ( f(x) = \ln(\tan(x)) ) is ( f'(x) = \frac{1}{\tan(x) \cdot \cos^2(x)} ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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