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- Homework Statement
- Determine for which x the derivative exists

- Relevant Equations
- $$f(x)=arcsin(\sqrt x)$$

Hi there.

I have the following function:

$$f(x)=arcsin(\sqrt x)$$

I've caculated the derivative to:

$$f'(x)=\frac{1}{2\sqrt x\sqrt{ (1-x}}$$

And the domain of f(x) to: $$[0, 1]$$

And the domain of f'(x) to: $$(0, 1)$$

I want to determine for which x the derivative exists but I'm not really sure if I should use the domain of the original function or the derivative of the function?

Any help would be greatly appreciated:)

I have the following function:

$$f(x)=arcsin(\sqrt x)$$

I've caculated the derivative to:

$$f'(x)=\frac{1}{2\sqrt x\sqrt{ (1-x}}$$

And the domain of f(x) to: $$[0, 1]$$

And the domain of f'(x) to: $$(0, 1)$$

I want to determine for which x the derivative exists but I'm not really sure if I should use the domain of the original function or the derivative of the function?

Any help would be greatly appreciated:)

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