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AP Calculus - Derivatives of Trig Functions Flashcards | StudBud
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AP Calculus - Derivatives of Trig Functions
AP Calculus - Derivatives of Trig Functions
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#APCalculus #Derivatives
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Questions
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Answers
1
Find the derivative of cot(x)
csc(x)cot(x)
cos(x)/sin(x)
sec2(x)
−csc2(x)
2
Find the derivative of tan(x)
sec2(x)
sin(x)/cos(x)
−csc2(x)
sec(x)tan(x)
3
Find the derivative of \cos^{-1}x
-\frac{1}{\sqrt{1+x^2}}
-\frac{1}{\sqrt{1-x^2}}
\frac{1}{\sqrt{1-x^2}}
\frac{1}{1+x^2}
4
Find the derivative of cos(x)
csc(x)
−sin(x)
sin(x)
tan(x)
5
Find the derivative of sin(2x)
2cos(2x)
cos(2x)
6
Find the derivative of csc(x)
cot(x)csc(x)
−cot(x)csc(x)
sec(x)tan(x)
sec2(x)
7
Find the derivative of sin(x)
csc(x)
cos(x)
sin(x)cos(x)
−cos(x)
8
Find the derivative of sec(x)
1/cos(x)
cos(x)
sec(x)tan(x)
sec2(x)
9
Find the derivative of \sin^{-1}x
\frac{1}{\sqrt{1-x^2}}
-\frac{1}{\sqrt{1+x^2}}
\frac{1}{1-x}
\frac{1}{1+x^2}
10
Find the derivative of \tan^{-1}x
\frac{1}{\sqrt{1-x^2}}
-\frac{1}{\sqrt{1+x^2}}
-\frac{1}{\sqrt{1-x^2}}
\frac{1}{1+x^2}