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

If the net force acting on any object is zero, the object will. A. Not move B. Change it’s motion
if a + b + c =180 and cosa = cosb +cosc than prove that cotb *cotc=1/2​
Non example of chemical energy
CAN SOMEONE PLS SLOVE 3,4,6
Express p as the subject of the formulaq= p² - r ÷ t​
What is dissent? How did it threaten Puritan society?
if a bottle of olive oil contains 1.3 kg of oil what is the volume in mL of the oil?​
How does ATP transfer energy to a reactant in an endergonic reaction?
a total of $67,000 is to be invested, some bonds and some in certificates of deposit (CDs). If the amount in bonds is to exceed that in CDs by $5,000, how much
need to make a spanish sentence out of these words. pls help. ocupado esta profesor el tenemos y tarea hoy