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

As an old saying foes flattery will get you nowhere what has social psychological research revealed about
sides and angles of this triangle?
how was the northwest ordinance an accomplishment
Why did early humans leave Asia and migrate to the Americas
6. How are the processes of mitosis and meiosis similar to each other?
Which Truman policies that helped minorities?
Una panadería invierte una parte de los beneficios en el envío de sus empleados a una capacitación sobre el uso de hornos más eficientes energéticamente que ta
what effects does the civil war have on women and African Americans?
Solve 2(x + 1) = 2x + 5.
A boat traveled downstream a distance of 68 mi and then came right back. If the speed of the current was 5 mph and the total trip took 5 hours and 40 minutes, f