AP Calc AB Review for QZ 06-08

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

Which if the following is not a correct notation for "derivative"?

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

Tags

CCSS.HSF.IF.B.6

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

Find  $y'$  if  $y=\frac{2}{x}$  

•  $y'=2x^{-1}$  

•  $y'=2x^{-2}$  

•  $y'=-2x^{-2}$  

•  $y'=-2x^{-1}$  

• -2
• 0
• 1
• 3

• 0

FInd the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

• -2x² - x + 9
• -2x² + x + 9
• 2x² - x + 9
• 2x² - x - 9

Tags

CCSS.HSA.APR.A.1