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11. f(x) = tan(x) (3x-5) 12. g(x)= 3x-7 csc(x) 13. y = sec(4x³ - 2x)

11. f(x) = tan(x) (3x-5) 12. g(x)= 3x-7 csc(x) 13. y = sec(4x³ - 2x)

Calculus: Early Transcendentals
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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11,12,13 find derivatives

### Calculus and Functions Exercise Below are a series of mathematical functions designed for exploring advanced calculus and algebraic concepts. **8.** \( H(x) = 4x^7 - 6x^4 + 3x - 12 \) **9.** \( g(x) = 6\sqrt{x} - \frac{2}{x^6} - 8 \) **10.** \( h(x) = \frac{2x^5 + 7x}{2x} \) **11.** \( f(x) = \tan(x)(3x - 5) \) **12.** \( g(x) = \frac{3x - 7}{\csc(x)} \) **13.** \( y = \sec(4x^3 - 2x) \) These functions involve polynomial, rational, radical, and trigonometric expressions and are useful for practicing derivative techniques, simplification, and function analysis.
Transcribed Image Text:### Calculus and Functions Exercise Below are a series of mathematical functions designed for exploring advanced calculus and algebraic concepts. **8.** \( H(x) = 4x^7 - 6x^4 + 3x - 12 \) **9.** \( g(x) = 6\sqrt{x} - \frac{2}{x^6} - 8 \) **10.** \( h(x) = \frac{2x^5 + 7x}{2x} \) **11.** \( f(x) = \tan(x)(3x - 5) \) **12.** \( g(x) = \frac{3x - 7}{\csc(x)} \) **13.** \( y = \sec(4x^3 - 2x) \) These functions involve polynomial, rational, radical, and trigonometric expressions and are useful for practicing derivative techniques, simplification, and function analysis.
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