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AP Calculus Derivatives Flashcards | StudBud
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AP Calculus Derivatives
AP Calculus Derivatives
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Various derivatives from AB Calculus #calculus #derivatives
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Answers
1
ln(x)
ex
1/x
ln(x)2
1/ln(x)
2
e
2arccos(x)
e2arccos(x)⋅(-2/√1-x2)
e2arccos(x)⋅2arccos(x)
e2arccos(x)⋅-2arcsin(x)
e2arccos(x)
3
tan(x)
sec2(x)
sec(x)tan(x)
-csc2(x)
1/(x2+1)
4
cos(x)
-cos(x)
-sin(x)
sin(x)
cos(x)
5
csc(x)
-csc(x)cot(x)
-csc(x)
-cot2(x)
-sec(x)
6
arcsin(x)
-1/√(1-x2)
1/(x2+1)
-1/(x2+1)
1/√(1-x2)
7
e
x
ln(x)
1/x
e2x
ex
8
sin(x)
cos(x)
-cos(x)
sin(x)
-sin(x)
9
sin(ln(x))
cos(x)⋅(1/x)
cos(ln(x))
cos(ln(x))⋅(1/x)
-cos(ln(x))⋅(1/x)
10
x
2
tan(x)
2xsec2(x)+x2tan(x)
2xtan(x)+x2sec2(x)
2xsec2(x)
2xtan(x)
11
a
x
ax
ax/ln(a)
1/a
axln(a)
12
arctan(x)
sec2(x)
1/(x2+1)
arcsec2(x)
1/√(1-x2)
13
sec(x)
-csc(x)cot(x)
sec2(x)
sec(x)tan(x)
tan2(x)