Determine the derivative of the following function and simplify: tan³ (22) sin² (5x) - O 2 tan² (2x) csc (5x²) (3 sec² (2x) - 5x tan(2x) cot (5x²)) O2 csc² (5x) (3x² sec² (2³) - 5 cot (5x) tan(22³)) O 2r csc(5r²) (3x sec² (27³) - 5 cot (522) tan(2x³)) O 2 tan² (2x) csc² (5x) (3 sec² (2x) - 5 tan(2x) cot (5x))

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
8)
Question 8
Determine the derivative of the following function and simplify:
tan³ (2a)
sin² (5x)
f(x) =
O 2 tan² (2x) csc (5x²)(3 sec² (2x) – 5x tan(2x) cot(5x²))
O 2 csc² (5x) (3x² sec² (2x³) - 5 cot (5x) tan(2x³))
O2r csc(5r²) (3r sec² (21³) - 5 cot (52²) tan(2x³))
O 2 tan² (2x) esc² (5x) (3 sec² (2x) - 5 tan(2x) cot (5x))
Transcribed Image Text:Question 8 Determine the derivative of the following function and simplify: tan³ (2a) sin² (5x) f(x) = O 2 tan² (2x) csc (5x²)(3 sec² (2x) – 5x tan(2x) cot(5x²)) O 2 csc² (5x) (3x² sec² (2x³) - 5 cot (5x) tan(2x³)) O2r csc(5r²) (3r sec² (21³) - 5 cot (52²) tan(2x³)) O 2 tan² (2x) esc² (5x) (3 sec² (2x) - 5 tan(2x) cot (5x))
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