AP Calculus Unit 2
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AP Calculus
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22 Terms
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Definition of derivative
lim h->0 f(x+h)-f(x)/h
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Derivative at a point
lim x->c f(x)-f(c)/x-c
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Alternate Form of the Derivative
f'(c) = lim x->c (f(x)-f(c))/(x-c)
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Equation of the tangent line
y-f(a) = f'(a)(x-a)
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Derivative Power Rule
d/dx x^n = nx^n-1
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Sinθ
opposite/hypotenuse
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Cosθ
adjacent/hypotenuse
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Tanθ
Opposite/Adjacent
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π/3
(1/2,√3/2)
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π/4
(√2/2,√2/2)
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π/6
(√3/2,1/2)
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π
(-1,0)
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0
(1,0)
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cosecantθ
1/sinθ
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secantθ
1/cosθ
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cotanθ
cosθ/sinθ
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y’[tan x]
sec²x
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y’[sec x]
secx tanx
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y’[cot x]
-csc²x
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y’[csc]
-cscxcotx
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csc²x
1+cot²x
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sec²x
tan²x+1