QuestionFind the slope of $f(x)=-5x-1+3\sqrt{7x}$ at the point $(2,0.22)$ using a graphing tool and round to the nearest hundredth.

Studdy Solution
Calculate the value of $f'(2)$.
$$f'(2) = -5 + \frac{21}{2\sqrt{14}} \approx -3.41$$So, the slope of the function $f(x)=-5x-1+3\sqrt{x}$ at the point $(2,0.22)$ is approximately $-3.41$.