U3R1 - AP Calculus: Unit 3 Review (Part 1)

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CCSS.HSA.SSE.A.1

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CCSS.HSF-IF.C.8B

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CCSS.HSF-BF.B.4D

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CCSS.HSF.LE.B.5

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CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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CCSS.HSA.REI.A.1

CCSS.HSA.SSE.A.1

If the n^th derivative of y is denoted as y⁽ⁿ⁾ and y = -sin(x), then y⁽¹⁵⁾ is the same as:

• $y$

• $\frac{\text{d}y}{\text{d}x}$

• $\frac{d^2y}{dx^2}$

• $\frac{d^3y}{dx^3}$

Let $f\left(x\right)=\frac{1}{4}x^3+x-1$ and 
 $g\left(x\right)=f^{-1}\left(x\right)$ , 
the inverse of f(x). Then,
 $g'\left(3\right)=$  

•  $\frac{4}{31}$  

•  $\frac{1}{6}$  

•  $\frac{1}{4}$  

•  $\frac{1}{3}$  

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CCSS.HSF-BF.B.4C