# How do you find the derivative of the function #f(x) = x + x^(1/2)#?

By the first derivative rule (and the simplest one): be

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

To find the derivative of the function ( f(x) = x + \sqrt{x} ), you can use the power rule and the chain rule. The derivative of ( x ) with respect to ( x ) is ( 1 ), and the derivative of ( \sqrt{x} ) with respect to ( x ) is ( \frac{1}{2\sqrt{x}} ). Therefore, the derivative of ( f(x) ) is ( f'(x) = 1 + \frac{1}{2\sqrt{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