Second order differentiation

Find the 2nd Derivative of

 $y=\left(3x-4\right)^5$  

•  $y''\ =\ 5\left(3x-4\right)^4$  

•  $y''\ =\ 15\left(3x-4\right)^4$  

•  $y''\ =\ 60\left(3x-4\right)^3$  

•  $y''\ =\ 180\left(3x-4\right)^3$  

•  $y''\ =\ 180\left(3x-4\right)^4$  

Find the slope of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 2x²+3

Tags

CCSS.8.EE.B.5

Derivative means the same thing as

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

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

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 second derivative of the following functions with respect to x.
y=3x²+5x-1

• 6x+5
• 3x+5
• 5
• 6

Tags

CCSS.HSF.IF.A.2

Find the 2nd derivative of f(x) = ¾x^½

• 3/4x^-3/2

• ⅛x^-½

• -1/16x^-½

• -3/16x^-3/2

Find the second derivative of the following functions with respect to x.
y=(x³+x)/x²

• x+(1/x)
• 1-(1/x²)
• 2/x²
• 2/x³

Tags

CCSS.HSA.APR.D.6

Find the second derivative of the following functions with respect to x.
y=(3x+2)¹⁰

• 10(3x+2)⁹
• 30(3x+2)⁹
• 810(3x+2)⁸
• 270(3x+2)⁸