dy 6. Find dx for each of the given functions using the sum and difference rule. b. y = ?- 2 1 a. y = 5x² – 2/x + 4 3x %3D 5x 3 c. y = 9x³ + 2x5 – 7x2

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...
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**Question 6: Finding Derivatives Using Sum and Difference Rule**

For each of the given functions, calculate \(\frac{dy}{dx}\) using the sum and difference rule.

a. \( y = 5x^2 - 2\sqrt{x} + 4 \)

b. \( y = \frac{2}{x} - \frac{1}{5x} - 3x \)

c. \( y = 9x^3 + 2x^{\frac{3}{5}} - 7x^2 \)
Transcribed Image Text:**Question 6: Finding Derivatives Using Sum and Difference Rule** For each of the given functions, calculate \(\frac{dy}{dx}\) using the sum and difference rule. a. \( y = 5x^2 - 2\sqrt{x} + 4 \) b. \( y = \frac{2}{x} - \frac{1}{5x} - 3x \) c. \( y = 9x^3 + 2x^{\frac{3}{5}} - 7x^2 \)
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