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Math 76O-250 Calculus for Business
Self-marking on-line assignment 3

The Power Rule; differentiating power functions
Best submitted over the internet by 1:00 PM on Wednesday 20 September 2017

Methods will be discussed in class

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Using a calculator is NOT allowed on this practice assignment.

THE POWER RULE
FUNCTION FORMAT: If f (x) = xn , then f '(x) = nxn-1
OPERATOR FORMAT: d

dx
xn = nxn-1

[1] (value 10%) If y = x4 enter numbers below expressing y'
y' = x

 
 

[2] (value 10%) If y = x enter numbers in both boxes below expressing y' in the format of the Power Rule stated above.
y' = x

 
 

[3] (value 10%) If y = 1 enter numbers in both boxes below expressing y' in the format of the Power Rule stated above.
y' = x

 
 

[4] (value 10%)
If y =  1 
x
 , enter numbers below expressing y'
y' = x

 
 

[5] (value 10%)
If y =  1 
x3
 , enter numbers below expressing y'
y' = x

 
 

[6] (value 10%)
If y =

 x
, enter numbers below expressing y'.
y' = x

 
 

[7] (value 10%)
If y = x3 x- 4 , that is, the product of x3 and x- 4 , enter numbers below expressing y'
y' = x

 
 

[8] (value 10%)
If y = x3

 x
, that is, the product of x3 and

 x
, enter numbers below expressing y'
y' = x

 
 

[9] (value 10%)
If y =
x3

 x
, that is, the quotient of x3 and

 x
, enter numbers below expressing y'
y' = x

 
 

[10] (value 10%) If y = x3.14 enter numbers below expressing y'
y' = x

 
 

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