2. Find the derivative of the functions, a. y = 5x+9.r + 12.r2-7r

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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Pick one and compare derivative definition and formula. Which one do you prefer to take and why?

**Problem 2: Find the derivative of the functions**

a. \( y = 5x^4 + 9x^3 + 12x^2 - 7x \)

b. \( y = 8\sqrt{x} + 6x^{\frac{3}{5}} \)

c. \( f(t) = \frac{1}{t} + \frac{12}{t} + \sqrt{2} \)

d. \( f(x) = \frac{x^3 + 5}{x} \)
Transcribed Image Text:**Problem 2: Find the derivative of the functions** a. \( y = 5x^4 + 9x^3 + 12x^2 - 7x \) b. \( y = 8\sqrt{x} + 6x^{\frac{3}{5}} \) c. \( f(t) = \frac{1}{t} + \frac{12}{t} + \sqrt{2} \) d. \( f(x) = \frac{x^3 + 5}{x} \)
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