### Calculus: Finding the Derivative of a Function#### Problem Statement:Find the derivative of the function.\[ y = \frac{7}{\sqrt{x} + 2} \]\[ y' = \boxed{ } \]In this problem, we are given a function \( y = \frac{7}{\sqrt{x} + 2} \) and are asked to find its derivative with respect to \( x \). To solve this, we will apply the rules of differentiation, including the quotient rule and the chain rule.- **Quotient Rule**: If \( y = \frac{u}{v} \), then \( y' = \frac{u'v - uv'}{v^2} \).- **Chain Rule**: If a function is nested, such as \( f(g(x)) \), then the derivative is \( f'(g(x)) \cdot g'(x) \).After differentiating, you will be able to input your answer in the provided boxed area.---

Name: ### Calculus: Finding the Derivative of a Function#### Problem Statem
Uploaded: 2024-03-20T06:47:22.000Z
Channel: Bartleby
Description: ### Calculus: Finding the Derivative of a Function#### Problem Statement:Find the derivative of the function.\[ y = \frac{7}{\sqrt{x} + 2} \]\[ y' = \boxed{ } \]In this problem, we are given a function \( y = \frac{7}{\sqrt{x} + 2} \) and are asked