Higher Order Derivatives | Implicit Differentiation

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=3x⁴

• 36x²
• 12x³
• 4x³
• 12x²

What rule should be used in deriving f(x) = x⁵

• Constant rule

• Sum rule

• Power rule

• Difference rule

Find the given derivative.

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find dy/dx by Implicit Differentiation 
x + 4y = 1

• -1/4
• -1 
• 4
• 1 

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

Find dy/dx at a given point.

• 5/4
• 4/5
• 1
• -5