You Derive Me Crazy

Find the derivative of and simplify:

• 12x⁴ +3x²
• 20x⁴ +3x² +16
• 3x⁵ +32x³ +6x² +8x
• 24x³

Find the derivative of and simplify:

• $8x^4-60x^2$
  

• $\frac{10x^4-60x^2}{2x^2-5}$
  

• $\frac{8x^4-60x^2}{\left(2x^2-5\right)^2}$
  

• $\frac{12x^2}{4x}$
  

Which if the following is NOT the correct notation for the first derivative of a function?

•  $f'\left(x\right)$  

•  $y'$  
  

•  $dy$  
  

•  $\frac{dy}{dx}$  
  

How do you find horizontal tangent lines?

• Find where the derivative is undefined
• Find where the derivative equals zero
• Find where the derivative is 1
• Find where the derivative is negative

The first derivative tells you the...

• slope of the tangent line

• slope of the normal line

• exponent

• slope of the secant line

Tags

CCSS.HSF.LE.B.5

The derivative of (leave in raw form)

• y'=2x-x^-2

• y'=x^-1+8x

• y'=x^-2+8x

• y=8x-x^-2

The derivative of a function is its

• Slope of secant
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Tags

CCSS.HSF.IF.B.4

The position of a function at time, t seconds is given by: 
s(t) = -4.9t² + 20t + 200
What is the initial position of the function?

• 20 meters
• 200 meters
• -4.9 meters
• Not enough information

If the position of a free-falling object is given by the function:
s(t) = -4.9t² + 20t + 200
What is it's velocity at 3 seconds?

• 215.9 m/s
• 9.4 m/s
• -9.4 m/s
• Cannot be determined

Find the derivative of:
f(x) = 3(x⁴ - 5x)⁵
(Leave your answer in raw form)

• f(x) = 15(x⁴ - 5x)⁴(4x³ - 5)
• f(x) = 15(4x³ - 5)⁴
• f(x) = 15(x⁴ - 5x)⁴
• f(x) = 15(4x³ - 5)⁴(12x²)