Compute the derivative of the given function. sin ¹(³+4) O O O d dx d dx d dx [sin ¹(x³ + 4)] = [sin ¹(₁³+ 4)] = -[sin¯¹(x³ + 4)] = d dx Isin -[sin¯¹(x^³ + 4)] = 1 √1-(x-² 1- (x^² + 4)² (x² + 4) 1 (43 √1+ (x³+4)2 (312) 3x-² 1- (x³ + 4)² 1 √ 1 − (x²³ + 4)2 (3x-²) =
Compute the derivative of the given function. sin ¹(³+4) O O O d dx d dx d dx [sin ¹(x³ + 4)] = [sin ¹(₁³+ 4)] = -[sin¯¹(x³ + 4)] = d dx Isin -[sin¯¹(x^³ + 4)] = 1 √1-(x-² 1- (x^² + 4)² (x² + 4) 1 (43 √1+ (x³+4)2 (312) 3x-² 1- (x³ + 4)² 1 √ 1 − (x²³ + 4)2 (3x-²) =
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
![Compute the derivative of the given function.
sin ¹(x³ + 4)
O
O
O
d
-[sin ¹(x³ + 4)] =
dx
d
dx
d
dx
d
dx
√ +
1-(-³ 4) 2 (x³ + 4)
[sin ¹(x³ + 4)] =
√/1 + (x² + 4)² (3x+²)
+4)2
[sin¯¹(x³ + 4)] =
=
-[sin¯¹(x^³ + 4)] =
3x²
1 - (x³ + 4)²
1
1 – (x-³.
(3x-²)
+4)²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24ac6280-2984-4387-80df-c491f46da1ae%2Fd75ec7fb-9414-46e2-b463-b77c0d1e60fb%2Fses7exp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Compute the derivative of the given function.
sin ¹(x³ + 4)
O
O
O
d
-[sin ¹(x³ + 4)] =
dx
d
dx
d
dx
d
dx
√ +
1-(-³ 4) 2 (x³ + 4)
[sin ¹(x³ + 4)] =
√/1 + (x² + 4)² (3x+²)
+4)2
[sin¯¹(x³ + 4)] =
=
-[sin¯¹(x^³ + 4)] =
3x²
1 - (x³ + 4)²
1
1 – (x-³.
(3x-²)
+4)²
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