More Derivatives

Differentiate y = $\frac{2x^2+x-3}{x}$  

• y = 2x + 1 - 3x^-1

• y' = 4x + 1 - 1x^-2

• y' = 2 + 3x^-2

• y' = 4x + 1 - 3x^-2

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

Tags

CCSS.HSA.APR.A.1

Differentiate y =  $\frac{12}{x^2}$  

• y' = 24x^-1

• y' = -24x^-3

• y' = -24x^-1

• y' = 6x^-3

 $y\ =\ -5x^4+3x^3-2x^2+9$  

Determine  $\frac{dy}{dx}$  .

•  $\frac{dy}{dx}=-5x^3+3x^2-2x$  

•  $\frac{dy}{dx}=-20x^4+9x^3-4x^2+9$  

•  $\frac{dy}{dx}=-20x^3+9x^2-4x$  

•  $\frac{dy}{dx}=-20x^3+9x^2-4x+9$  

Tags

CCSS.HSF-LE.A.1B

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

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Tags

CCSS.HSA.APR.A.1

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

Tags

CCSS.HSA.APR.A.1

When do you use the chain rule?

• anytime you want
• when there is a function in a function
• where there are multiple layers to a lasagna (yum)
• when there is division

When do you use the product rule

• when you want to
• when there is division
• when you are talking about acceleration
• when there is multiplication