By first principles, the derivative is

Use the binomial theorem to expand the numerator:


where

The first term is eliminated, and the limit is

A power of
in every term of the numerator cancels with
in the denominator:

Finally, each term containing
approaches 0 as
, and the derivative is

Answer: 70ᴼ
Step-by-step explanation:
The triangles are vertical so their angle measures are congruent.
The angles of a triangle add to equal 180ᴼ.
55 + 55 = 110
180 - 110 = 70
The product is -10y² -19y +15.
Answer: 
Step-by-step explanation:
Given: A tourist first walked 17km with a speed of v km/h.
Since 
therefore, 
Let
be the time he walked with speed v.
then 
Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.
Let
be the time he hiked 12 km,
Then 
The total time for the whole trip is given by:-

Substitute the values of
and
in the equation, we get
