Question5. Answer the following questions; a) Find the slope of the curve $f(x)=\sqrt{x-1}$ at the point $x=5$.
Ans: $\qquad$

Studdy Solution
Evaluate the derivative at $x = 5$:
$$f'(5) = \frac{1}{2\sqrt{5-1}} = \frac{1}{2\sqrt{4}} = \frac{1}{2 \cdot 2} = \frac{1}{4}$$
The slope of the curve $f(x) = \sqrt{x-1}$ at the point $x = 5$ is $\frac{1}{4}$.