# How do you differentiate #sin(sin(sinx))#?

This can be factorized using chain rule for function of a function.

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

To differentiate sin(sin(sinx)), you can use the chain rule. Here's the process:

- Let y = sin(sin(sinx)).
- Take the derivative of y with respect to x using the chain rule.
- First, find the derivative of the outer function sin(u) with respect to u, which is cos(u).
- Then, multiply by the derivative of the inner function sin(sinx) with respect to x, which is cos(sinx) * cos(x).
- Finally, multiply by the derivative of the innermost function sinx with respect to x, which is cos(x).

So, the derivative of sin(sin(sinx)) with respect to x is:

dy/dx = cos(sin(sinx)) * cos(sinx) * cos(x)

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