Higher Order Derivatives

How many derivatives can you take of a function?

• only 3
• only 2
• only 1
• until you can no longer derive it

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 f "'(x) when

f(x)=10x⁵ +3x⁴ -5x³ +2x² -10x+6

• 200x³+36x² -30x+4

• 600x² +72x -26

• 600x² +72x -30

• 600x² +72x -36

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

• 3/4x^-3/2

• ⅛x^-½

• -1/16x^-½

• -1/16x^-3/2

Tags

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

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 f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx

Find y'' for y = 3x² + 5x + cos x

• f''(x) = 6x + cos x

• f''(x) = 3x + 5 - sin x

• f''(x) = 6x + 5 + sin x

• f''(x) = 6 - cos x

Tags

CCSS.HSF.IF.A.2

Find the second derivative of y = ln (x³√x)

• 7/2x

• -7/2x

• -7/2x²

• 7/2x²

• None of these

Tags

CCSS.HSF.IF.C.8

CCSS.HSF.BF.B.5

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