# How do you differentiate #f(x)=sqrt((1-x)/(1+x))#?

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

To differentiate (f(x) = \sqrt{\frac{1-x}{1+x}}), you can use the chain rule. The chain rule states that if you have a function within a function, you differentiate the outer function first and then the inner function, multiplying the results together.

Here's how to differentiate (f(x)):

- Let (u = \frac{1-x}{1+x}).
- Rewrite (f(x)) as (f(x) = \sqrt{u}).
- Differentiate (f(x)) with respect to (u) first: (\frac{d}{du}\sqrt{u}).
- Then differentiate (u) with respect to (x): (\frac{d}{dx}\left(\frac{1-x}{1+x}\right)).
- Multiply the results of steps 3 and 4 together to find the derivative of (f(x)).

Applying the chain rule, you can compute the derivative of (f(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