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))
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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,