# What is the derivative of this function #arc cot(x/5)#?

# d/dx arc cot(x/5 )= -5/(25+x^2) #

We can then differentiate implicitly:

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The derivative of the function ( \text{arc cot}(\frac{x}{5}) ) is ( -\frac{1}{5(1 + (\frac{x}{5})^2)} ).

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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.

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