Question

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.

Answer 1

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 $f(x) =\frac{7}{x}$

Taking the derivative of the function will give:

$f'(x)=-\frac{7}{x^2}$

Substitute x = 5 into the equation to have:

$f'(x)=-\frac{7}{5^2}$

$f'(x) = -\frac{7}{25}$

Hence the slope of the function to 3 dp is 0.280

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