jboling41 jboling41
  • 25-04-2019
  • Mathematics
contestada

Find the slope of the function -2x + 1 by the definition of limit.

a0

Respuesta :

LammettHash
LammettHash LammettHash
  • 25-04-2019

Let [tex]f(x)=-2x+1[/tex]. By definition, the derivative is

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]

So

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(-2(x+h)+1)-(-2x+1)}h=\lim_{h\to0}\frac{-2h}h=\lim_{h\to0}-2=-2[/tex]

and the slope of any line tangent to [tex]f(x)[/tex] is -2.

Answer Link

Otras preguntas

what is 5725 rounded to the nearest hundred
What are the Multiples of 24
The delegates at the Constitutional Convention ended the slave trade effective immediately following the ratification of the Constitution.
Iron (III) Chloride is mixed with silver sulfite. Write the correct products and then balance the equation. What's the correct product?
how many settlers died in the first six months
Sylvanite is a mineral that contains 28.0% \% gold by mass. How much sylvanite would you need to dig up to obtain 34.0g g of gold?
Which of the following signs may indicate heat exhaustion a. muscle cramps, fatigue, and lightheadedness b. Hunger, fatigue, and back pain c. Lethargy, thirs
Writing in math use counters.tell how to make 10 when adding 8 5
Rename the number 805 tens?
Circle the rate that does not belong with the other three. 60 miles/1hour 88feet/1 second 500feet/1minute 1440 miles/1 day