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13-30. Derivatives Evaluate the derivatives of the following functions. 13. f(x) = tan¹ 10x (14.) f(x) = x cot¹ (x/3) (16.) g(z)= tan¹ (1/2) (15. f(y) = tan¹ (2y²-4)

13-30. Derivatives Evaluate the derivatives of the following functions. 13. f(x) = tan¹ 10x (14.) f(x) = x cot¹ (x/3) (16.) g(z)= tan¹ (1/2) (15. f(y) = tan¹ (2y²-4)

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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13-30. Derivatives Evaluate the derivatives of the following functions. 14.) f(x) = x cot¹ (x/3) (16.) g(z) = tan¹ 1¹ (1/2) (18) f(x) = sec Vx 13. f(x) = tan¹ 10x (15) f(y) = tan¹ (2y²-4) (17. f(z) = cot¹ Vz (19.) f(x) = cos (1/x) (21.) f(u) = esc¹ (2u + 1) 20 f(t) = (cost)² 22 f(t) In (tan-¹ t) = 6
Transcribed Image Text:13-30. Derivatives Evaluate the derivatives of the following functions. 14.) f(x) = x cot¹ (x/3) (16.) g(z) = tan¹ 1¹ (1/2) (18) f(x) = sec Vx 13. f(x) = tan¹ 10x (15) f(y) = tan¹ (2y²-4) (17. f(z) = cot¹ Vz (19.) f(x) = cos (1/x) (21.) f(u) = esc¹ (2u + 1) 20 f(t) = (cost)² 22 f(t) In (tan-¹ t) = 6
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