# What is the derivative of #f(theta)=arcsin(sqrt(sin(9theta)))#?

You will also need to use the chain rule and the fact that

Your starting function

is equivalent to

Take this back to your target derivative to get

Use the trigonometric identity

This will get you

This is equivalent to

By signing up, you agree to our Terms of Service and Privacy Policy

The derivative of ( f(\theta) = \arcsin(\sqrt{\sin(9\theta)}) ) is ( f'(\theta) = \frac{9\cos(9\theta)}{2\sqrt{\sin(9\theta)}} ).

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7