Equation of Tangent Line

Compute $f'(x)$ using the limit definition of the derivative $f'(a) = \lim_{h \to 0} \frac{f(a+h) - f(a)}{h}$ for the following 1. f(x) = 3 2. f(x) = 3x-1 3. f(x) = $x^2 + x$ 4. f(x) = $\sqrt(x)$ 5. f(x) = 1/x

Use the definition of derivatives to find the derivative of the following function,

$f(x) = \sqrt{x - 1}$

Find the slope of the tangent line to

$f(x) = \sqrt{x}$

when x = 1

Use the limit definition of the derivative to find the equation of the normal line to the graph of

$f(x) = \frac{1}{\sqrt{4 - x}}$ at $x = 3$