Differentiate the function y = √7-x using the Chain Rule. dy dx = 5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

 please show your derivative by hand and simplify

Differentiating the Function with the Chain Rule

**Problem:**

Differentiate the function \( y = \sqrt{7 - x} \) using the Chain Rule.

---

**Solution:**

The derivative of the function is given by:

\[
\frac{dy}{dx} = 5
\]

---

(Note: The solution seems incorrect as per standard differentiation rules and might need verification.)
Transcribed Image Text:Differentiating the Function with the Chain Rule **Problem:** Differentiate the function \( y = \sqrt{7 - x} \) using the Chain Rule. --- **Solution:** The derivative of the function is given by: \[ \frac{dy}{dx} = 5 \] --- (Note: The solution seems incorrect as per standard differentiation rules and might need verification.)
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Step 1: Find the derivative

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