# Definition of Derivative Examples

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

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

Posted by Ryan Burke a year ago

## Related Problems

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

Find the slope of the tangent line to

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

when x = 1

Find the slope of the tangent line to

$f(x) = \frac{1}{x}$

when x = 4

Use the definition of the derivative to find $f\prime(x)$ if

$f(x) = \frac{2}{3 - 5x}$