Higher Order and Chain Rule

Find the second derivative of the following functions with respect to x.
y=3x⁴

• 36x²
• 12x³
• 4x³
• 12x²

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

• 6x+5
• 3x+5
• 5
• 6

Find f "(x) when f(x)=cscx

• csc²x

• 2csc³x

• csc³x - cscx cot²x

• csc³x + cscx cot²x

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 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

Find f⁴ (x) when

f(x)=3x⁴+7x³ -9x +1

• 48x⁴ +28x³ -36x +4

• 72

• 36x

• 36

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

Tags

CCSS.HSA.SSE.A.2

• A

• B

• C

• D

• A

• B

• C

• D

• E

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A