Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Find the derivative of the following functions and simplify the result whenever possible.

Find the first derivative of the following functions and simplify
the result whenever possible.
x V4-x²
1.y = xarcsin:
6. arctan – = x – y
y
4 sin x
2.y = arctan;
7. arcsin– + arccos-= 1
y
3+5 cos x
(x+ 3)²
8. y =
arccsc(x +3)
3. y = /arcsin(1– x²)
2+x
4. y = arccot x + arctan
1- 2x
5. y = x arcsin²x – 2x + 2/1 – x² arcsin x
Transcribed Image Text:Find the first derivative of the following functions and simplify the result whenever possible. x V4-x² 1.y = xarcsin: 6. arctan – = x – y y 4 sin x 2.y = arctan; 7. arcsin– + arccos-= 1 y 3+5 cos x (x+ 3)² 8. y = arccsc(x +3) 3. y = /arcsin(1– x²) 2+x 4. y = arccot x + arctan 1- 2x 5. y = x arcsin²x – 2x + 2/1 – x² arcsin x
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