Ap Calculus

f(x)= x^1/3

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f(x)= \sqrt{x}

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f(x)= lnx

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f(x)= e^x

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f(x)= 1/x

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f(x)= 1/x²

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f(x)= |x|

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f(x)= sin x

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f(x)= cos x

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f(x)= tan x

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f(x)= x^2/3

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f(x)= \sqrt{r²-x²}

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f(x)= Arc tan x

Graph

f(x)= |x| / x

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f(x)= 1 / (x²+1)

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f(x)= ½(e^x+e^-x)=cosh x

Graph

f(x)= [x]

Graph

Rad: 0 or 0^o

(1,0)

π/6 or 30^o

(root3 /2 , ½)

π/4 or 45^o

(root2 /2 , root2 /2)

π/3 or 60^o

(½ , root3 /2)

π/2 or 90^o

(0,1)

2π /3 or 120^o

(-½ , root3 /2)

3π /4 or 135^o

(-root2 /2 , root 2/2)

5π /6 or 150^o

(-root3 /2 , ½)

π or 180^o

(-1,0)

7π /6 or 210^o

(-root3 /2 , -½)

5π /4 or 225^o

(-root2 /2 , -root2 /2)

4π /3 or 240^o

(-½ , -root3 /2)

3π /2 or 270^o

(0 , -1)

5π /3 or 300⁰

(½ , -root3 /2)

7π /4 or 315^o

(-root2 /2 , -root2 /2)

11π /6 or 330^o

(root3 /2 , -½)

cos²x + sin²x

1

1 + tan²x

sec²x

1 + cot²x

csc²x

sin(2x)

2sinx*cosx

cos(2x)

cos²x - sin²x

cos²x

½ (1+ cos2x)

sin²x

½ (1-cos2x)

ln 1

0

ln e

1

ln mn

(ln m) + (ln n)

ln m/n

(ln m) - (ln n)

ln mⁿ

n ln m

e^{ln x}

x= ln e^x

a² - b²

(a+b)(a-b)

a³ + b³

(a+b)(a² - ab + b²)

a³ - b³

(a-b)(a³ + ab + b²)

(a + b)²

a² + 2ab + b²

(a - b)²

a² - 2ab + b²

(a+b)³

a³ + 3a²b + 3ab² + b³

(a-b)³

a³ + 3a²b + 3ab² - b³