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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.

Sagot :

abidemiokin

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

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