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Derivatives of Trig Functions Flashcards | StudBud

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Derivatives of Trig Functions

10 terms·StudBud Administration·45 plays

Practice derivatives of trig functions, including sin, cos, tan, csc, sec, cot, product rule, quotient rule. #calculus #derivatives

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Questions 10

Answers

1
y = 5xcos(x), y' = ?
tan2(x)
-5xcos(x) - 5sin(x)
5xsin(x) -5cos(x)
-5xsin(x) + 5cos(x)
2
y = tanx, y' = ?
secx
-sec2x
sec2x
csc2x
3
y = secx, y' = ?
secxtanx
-secxtanx
tan2x
tanx
4
y = sin(x)tan(x), y' = ?
cos(x)sec2(x)
sin(x)sec2(x) - sin(x)
cos(x)sec2(x) - sin(x)
sin(x)sec2(x) + sin(x)
5
y = cotx, y' = ?
-cscx
-csc2x
csc2x
cscx
6
y = sin(x)/[cos(x) +2x], y' = ?
[(cos(x) + 2x)(cos(x)) - sin(x)(-sin(x) + 2)]/(cos(x) + 2x)2
cos(x)/[-sin(x) + 2]
[(sin(x) + 2x)(sin(x)) - cos(x)(-sin(x) + 2)]/(cos(x) + 2)2
[(cos(x) + 2x)(cos(x)) - sin(x)(-sin(x) + 2)]
7
y = sinx, y' = ?
cosx
-cosx
-sinx
cos2x
8
y = cosx, y' = ?
-cosx
sinx
-sinx
sin2x
9
y = 5cos(x), y' = ?
5cos(x)/2
-5sinx
-5cos(x)
5sin(x)/2
10
y = cscx, y' = ?
cot2x
cscxcotx
-cscxcotx
cotx