Use the quotient rule to derive the given equation. (Simplify your answers completely.) -(cot(x)) = -csc²(x) d (cot(x)) d dx d dx cos(x) -1 (-sin(x)) - - cos²(x) (cos(x))
Use the quotient rule to derive the given equation. (Simplify your answers completely.) -(cot(x)) = -csc²(x) d (cot(x)) d dx d dx cos(x) -1 (-sin(x)) - - cos²(x) (cos(x))
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.6: Derivatives Of Trigonometric Functions
Problem 9E
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![Use the quotient rule to derive the given equation. (Simplify your answers completely.)
—(cot(x)) = −csc²(x)
dx
d
a (cot(x))
dx
=
||
d
dx
cos(x)
-1
|(−sin(x)) -
cos²(x)
(cos(x))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2bcede6-fd9b-472f-9a7b-9def96cfbb6f%2F2713e62a-75d2-4e98-9900-c0d87ef9f1d1%2Fbkbe2oq_processed.png&w=3840&q=75)
Transcribed Image Text:Use the quotient rule to derive the given equation. (Simplify your answers completely.)
—(cot(x)) = −csc²(x)
dx
d
a (cot(x))
dx
=
||
d
dx
cos(x)
-1
|(−sin(x)) -
cos²(x)
(cos(x))
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