Using the power rule, the derivatives are given as follows:
a)
.
b)
.
<h3>What is the power rule for a derivative?</h3>
Suppose we have a power function given by:

The derivative of the function is given by:

Item a:
The function is:

Then the derivative is:

When x = 2, the derivative is:

Item b:
The function is:

Then the derivative is:

When x = 3, the derivative is:

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Answer:
Step-by-step explanation:
7). Ratio of the students who name hockey as their favorite sport to hose who name basketball.
Ratio = 
= 
= 1 : 5
Option W is the answer.
8). Ratio of the students whose favorite sport is either baseball or soccer to the total students,
Ratio = 
= 
= 
= 11 : 19
Option O is the answer.
9). Ratio of the students who prefer soccer, basketball, baseball or hockey to those who preferred another sport,
Students who prefer soccer, basketball, baseball or hockey = 8 + 5 + 3 + 1 = 17
Students who prefer another sport = 2
Ratio = 17 : 2
Option K is the answer.
10). Ratio of total number of students to the students who preferred a sport with round ball,
Ratio = 
= 2 : 17
Option P is the answer.
The Netherlands won 8 medals because 8x3=24 and 24/3=8