jessicajo7792 jessicajo7792
  • 03-02-2022
  • Mathematics
contestada

If f(x) = startfraction 7 over x endfraction, then what is the slope of f(x) at x = 5? round your answer to 3 decimal places.

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 04-02-2022

The slope of the function to 3 dp is 0.280

Slope of a function

Slope is also known as the gradient of a function

Given the function [tex]f(x) =\frac{7}{x}[/tex]

Taking the derivative of the function will give:

[tex]f'(x)=-\frac{7}{x^2}[/tex]

Substitute x = 5 into the equation to have:

[tex]f'(x)=-\frac{7}{5^2}[/tex]

[tex]f'(x) = -\frac{7}{25}[/tex]

Hence the slope of the function to 3 dp is 0.280

Learn more on slope of function here: https://brainly.com/question/405397

Answer Link

Otras preguntas

5. Water waves move as what A. as S waves B. in circular paths C. as transverse waves only
Florida is the southernmost state in the United States. True or False
Rank the phases of matter from the one with the least kinetic energy to the greatest kinetic energy for the particles in the substance.
how soap is made? using potash​
Federalists supported a strong central government. Which characteristics best describe the federalists?
Karen has 7/8 cup of ice cream. How many 1/3 cup servings can she make?
Which describes the correct order of events in the spread of disease? pathogens → exposure → sickness sickness → pathogens → exposure exposure → sickness → tran
Temperatures expressed in the Kelvin scale are _______ higher than temperatures in the Celsius scale.
what is the percent increase from 35 to 70
What effect does factory smoke have on the water cycle?