# What is the derivative of #f(x)=5x arcsin(x)#?

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I much prefer the 'old fashioned' notation.

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The derivative of ( f(x) = 5x \arcsin(x) ) is given by ( f'(x) = 5\arcsin(x) + \frac{5x}{\sqrt{1-x^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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