According to data from a general motors study, the average speed of your trip a (in miles per hour) is related to the number of stops per mile you make on the trip x by the equation

a =26.5/x^0.45 .†

(a) compute da/dx for x = 0.27. (round your answer to two decimal places.)
(b) compute da/dx for x = 2. (round your answer to two decimal places.)

Step-by-step explanation:

Let's rewrite the equation as:

Now, let's find its derivate:

Let's evaluate x=0.27 and x=2:

Keep in mind that when we derivate A(average speed) we find the average acceleration, thats why the result is given in mi/h^2, also it explains the minus sign, because for every stop you make on the trip you are decelerating.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point