Higher Order Derivatives Polynomial

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 function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x

• f ''(x) =  2-30x⁵

• f ''(x) = -30x⁵

• f ''(x) = -150x⁴

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

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

• f '''(x)= 2 - 30x

• f '''(x) = 2-30x⁵

• f '''(x) = -30x⁵

• f '''(x) = -150x⁴

• f '''(x) = -600x³

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 f ²⁰(x) when f(x)=10x⁵ +3x⁴ -5x³ +2x² -10x+6

• 200x³+36x² -30x+4

• 1200

• 600x² +72x -30

• 1200x +72

• 0

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

• 36x²

• 12x³

• 4x³

• 12x²

find dy²/ d²x   of   x² + y² = 16
Make sure to go as far as you can!

• -16/ y³

• (y² - x ^dy/dx) /  (y³)

• (y² - x²) / y³

How many derivatives can you take of a function?

• only 3

• only 2

• only 1

• until you can no longer derive it